Question
Answer :
Word Count : 671
We are given the matrix: \[ A = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 1 \\ 0 & -2 & 4 \end{bmatrix} \] and the identity matrix: \[ I = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix} \] The inverse of \( A \) is given by: \[ A^{-1} = \frac{1}{6} (A^2 + aA + bI) \] ### Step 1: Compute \( A^2 \) First, compute \( A^2 = A \cdot A \): \[ A^2 = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 1 \\ 0 & -2 & 4 \end{bmatrix} \cdot \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 1 \\ 0 & -2 & 4 \end{bmatrix} \] Compute ___ ______ _________ ___ __________.
___ ______ ________ ____ _________ ____ __________.
_______ _________ ________ ___ ____ ______ ___ __________ __________ ______.
__________ ___ ___ __________ ____ _____ __________.
______ _______ ___ __________ _____ ________ _______ ______ ______ ______.
____ ______ _______ __________ _________.
___ ____ __________ _________ _____.
_____ _________ ___ ________ ___ ______ ___ __________ ______ _________ _____.
_______ __________ _______ __________ ________ _____ ___ ________ _______.
___ _________ _________ ______ _____.
___ ______ __________ ______ ________ ______ ____ _____ ____ ________ _______.
_____ _______ ___ _________ ___ _______.
________ _______ ________ ________ ______ _______.
____ __________ ________ ______ _______ ___ _______ _________ ____ ____ ______.
__________ _______ ____ _______ _______ ________ ______ ______.
__________ ________ ____ ____ __________ ____ ____ _____.
____ _______ _______ _____ _________ ______.
_______ ______ ____ ______ ______ ____ ________.
____ __________ __________ _______ ___ ________ ___ ______ __________ _____.
_____ _____ ______ ______ ________ ___ ___ ______ _______ ____ _____.
________ ______ ____ ________ ___.
____ ____ _____ ________ _____.
________ _______ ______ __________ ___ ___ __________ ________ _____ ________.
________ _________ _____ __________ _____.
__________ _________ _____ ___ ________ ____ ___ _______ ____ ________ _______ ___.
_____ ___ __________ _____ ____ ____ _______ ____ ___.
__________ ______ _____ ____ ______ _____ _______ ______ ________ _________ _______.
__________ _____ _____ __________ ________ ________ ____ _____ ________.
_________ ___ _______ _______ _________ ________ ____ ____.
_______ ____ ________ _____ _______.
_______ ______ ____ ___ __________ ________ ________ ____ ________ ________.
_____ ____ _________ ____ ________ ____ _________ ____ ______.
____ ______ __________ ______ _________ __________ _______ _____ __________ _______ ______ ________.
__________ _______ ___ ______ __________ ________ __________ ________ _________.
_______ __________ __________ _______ ___ ______ _________ ____ _______.
____ ____ ________ _________ ____ ___ __________ _______ ____ ________ _____.
_____ ____ __________ ____ ______ _______ ___ _________ _________ __________ ___ ___.
____ __________ __________ _________ __________ ______ ____ ________ _______ _____ __________ _____.
_______ _____ _____ _________ ___ __________ _______ ___ ____ __________ ________ ____.
_______ ____ ___ __________ ________ _____ ____ __________ ____.
_____ __________ ________ ______ _________.
___ ____ ________ _________ _______.
____ ____ ____ ____ ______.
___ _____ ________ _____ ____ ______ __________ __________ _____ _________ __________.
_________ _____ _________ __________ _____ ______ ________ ______ _______ _____.
_____ ___ ____ ___ _______ _____ _________ ______.
_________ ___ _____ ________ ______ _________ __________ ________ _______ __________.
____ ______ _________ ____ __________.
______ _______ ___ ________ _________ _____.
_____ ________ _______ ________ _________ ______ ___ __________.
______ ______ __________ ________ _________ _________ ___.
__________ _____ ______ _________ ____ _____ _______ ________.
___ ___ __________ ____ ____ _________ ___ ______.
____ ______ _______ ________ ____ _____ _______ _______ __________ ___ _____ _____.
_______ ___ ____ ____ __________ _______ _________.
_______ _______ ________ ____ ____ ________ ________ _______ ______.
______ ___ ____ ________ ___.
______ ____ __________ ________ ________ _______ ______ _____ ___ _______ ______.
___ ________ _______ ___ ____ ______ ______ ___ _____ ____ _________.
____ ____ ___ ___ ______ ______ _______ ___ ___ _________ _______ _________.
________ _____ ____ ______ ___.
___ ______ __________ _____ _________ _____ _____ _______.
___ ____ __________ __________ _________ ____ _____ _______.
___ _______ ___ ________ _____ _____ _________ ______ ________.
_______ _____.
Get Full Answer on WhatsApp
We are given the matrix: \[ A = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 1 \\ 0 & -2 & 4 \end{bmatrix} \] and the identity matrix: \[ I = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix} \] The inverse of \( A \) is given by: \[ A^{-1} = \frac{1}{6} (A^2 + aA + bI) \] ### Step 1: Compute \( A^2 \) First, compute \( A^2 = A \cdot A \): \[ A^2 = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 1 \\ 0 & -2 & 4 \end{bmatrix} \cdot \begin{bmatrix} 1 & 0 & 0 \\ 0 & 1 & 1 \\ 0 & -2 & 4 \end{bmatrix} \] Compute ___ ______ _________ ___ __________.
___ ______ ________ ____ _________ ____ __________.
_______ _________ ________ ___ ____ ______ ___ __________ __________ ______.
__________ ___ ___ __________ ____ _____ __________.
______ _______ ___ __________ _____ ________ _______ ______ ______ ______.
____ ______ _______ __________ _________.
___ ____ __________ _________ _____.
_____ _________ ___ ________ ___ ______ ___ __________ ______ _________ _____.
_______ __________ _______ __________ ________ _____ ___ ________ _______.
___ _________ _________ ______ _____.
___ ______ __________ ______ ________ ______ ____ _____ ____ ________ _______.
_____ _______ ___ _________ ___ _______.
________ _______ ________ ________ ______ _______.
____ __________ ________ ______ _______ ___ _______ _________ ____ ____ ______.
__________ _______ ____ _______ _______ ________ ______ ______.
__________ ________ ____ ____ __________ ____ ____ _____.
____ _______ _______ _____ _________ ______.
_______ ______ ____ ______ ______ ____ ________.
____ __________ __________ _______ ___ ________ ___ ______ __________ _____.
_____ _____ ______ ______ ________ ___ ___ ______ _______ ____ _____.
________ ______ ____ ________ ___.
____ ____ _____ ________ _____.
________ _______ ______ __________ ___ ___ __________ ________ _____ ________.
________ _________ _____ __________ _____.
__________ _________ _____ ___ ________ ____ ___ _______ ____ ________ _______ ___.
_____ ___ __________ _____ ____ ____ _______ ____ ___.
__________ ______ _____ ____ ______ _____ _______ ______ ________ _________ _______.
__________ _____ _____ __________ ________ ________ ____ _____ ________.
_________ ___ _______ _______ _________ ________ ____ ____.
_______ ____ ________ _____ _______.
_______ ______ ____ ___ __________ ________ ________ ____ ________ ________.
_____ ____ _________ ____ ________ ____ _________ ____ ______.
____ ______ __________ ______ _________ __________ _______ _____ __________ _______ ______ ________.
__________ _______ ___ ______ __________ ________ __________ ________ _________.
_______ __________ __________ _______ ___ ______ _________ ____ _______.
____ ____ ________ _________ ____ ___ __________ _______ ____ ________ _____.
_____ ____ __________ ____ ______ _______ ___ _________ _________ __________ ___ ___.
____ __________ __________ _________ __________ ______ ____ ________ _______ _____ __________ _____.
_______ _____ _____ _________ ___ __________ _______ ___ ____ __________ ________ ____.
_______ ____ ___ __________ ________ _____ ____ __________ ____.
_____ __________ ________ ______ _________.
___ ____ ________ _________ _______.
____ ____ ____ ____ ______.
___ _____ ________ _____ ____ ______ __________ __________ _____ _________ __________.
_________ _____ _________ __________ _____ ______ ________ ______ _______ _____.
_____ ___ ____ ___ _______ _____ _________ ______.
_________ ___ _____ ________ ______ _________ __________ ________ _______ __________.
____ ______ _________ ____ __________.
______ _______ ___ ________ _________ _____.
_____ ________ _______ ________ _________ ______ ___ __________.
______ ______ __________ ________ _________ _________ ___.
__________ _____ ______ _________ ____ _____ _______ ________.
___ ___ __________ ____ ____ _________ ___ ______.
____ ______ _______ ________ ____ _____ _______ _______ __________ ___ _____ _____.
_______ ___ ____ ____ __________ _______ _________.
_______ _______ ________ ____ ____ ________ ________ _______ ______.
______ ___ ____ ________ ___.
______ ____ __________ ________ ________ _______ ______ _____ ___ _______ ______.
___ ________ _______ ___ ____ ______ ______ ___ _____ ____ _________.
____ ____ ___ ___ ______ ______ _______ ___ ___ _________ _______ _________.
________ _____ ____ ______ ___.
___ ______ __________ _____ _________ _____ _____ _______.
___ ____ __________ __________ _________ ____ _____ _______.
___ _______ ___ ________ _____ _____ _________ ______ ________.
_______ _____.
Get Full Answer on WhatsApp
Related Questions
Prove that
is independent of a, b, c.
, and
find vector
such that
and
Find the first order partial derivatives
Use the method of Laplace transforms to find the solution of the initial value problem y" + 9y = 6 cos 3t, y(0) = 2, y'(0) = 0
Explain why Lagrange's mean value theorem is not applicable to the following functions in the respective intervals: f(x) = 13x +11, x∈ [1,3].
Find the height of a right cylinder with greatest lateral surface area that may be inscribed in a given sphere of radius R.
IGNOU NEWS
Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★