Question
Prove that
Answer :
Word Count : 279
We need to prove the determinant: \[ D = \begin{vmatrix} b+c & a & a \\ c & c+a & a \\ b & a & a+b \end{vmatrix} \] ### Step 1: Expand the determinant using cofactor expansion along the first row Expanding along the first row: \[ D = (b+c) \begin{vmatrix} c+a & a \\ a & a+b \end{vmatrix} - a \begin{vmatrix} c & a \\ b & ________ _________ _____ _______ __________ ______ _____ __________.
__________ ____ ______ _________ __________ ___ _________ ___.
____ _________ ____ ___ _____ _________ _______ ___ _________.
____ ____ ________ ________ _______ ________.
____ _____ ________ _________ ________ ___ _________.
___ _________ ____ _________ ______ ______.
______ _______ __________ _______ ________ ____ ____ _________ _________ ___ _____ __________.
___ ________ __________ _________ ___ ________ ________ __________ __________ ____ ______.
________ ______ _____ ________ ______.
_____ ____ _______ ___ _______ ______ _______ _________ _________ _________.
___ _______ ________ __________ _______ ________ __________ _________ ___.
_____ _____ _____ _____ ______ ______ _____ ____ ________.
________ ___ _______ ________ __________ _______ __________ __________ _____ _________ _______.
___ _____ _______ _________ ______ _________ ______ ____ _______ _______ ______ ________.
_____ ___ _____ ____ _____ _______ _______.
__________ _____ _______ _________ ____ ______.
_____ _____ __________ __________ ___ ____ ______ ______ ____ _____ ____ __________.
__________ ______ ___ _________ _________ __________ _______ ________ ______ _________ __________ _____.
__________ ___ ______ ______ _________ ___ _______ ________ ________ ____ ___ ___.
__________ ______ _______ ____ _________ _______ _______ _________ _________ ______ _______ ___.
______ __________ __________ _____ _________ __________ ________ ____.
______ ___ _____ _______ _________ ______ ______ ________ __________ _______.
____ __________ _____ _________ ___ _____ __________ _________.
Get Full Answer on WhatsApp
We need to prove the determinant: \[ D = \begin{vmatrix} b+c & a & a \\ c & c+a & a \\ b & a & a+b \end{vmatrix} \] ### Step 1: Expand the determinant using cofactor expansion along the first row Expanding along the first row: \[ D = (b+c) \begin{vmatrix} c+a & a \\ a & a+b \end{vmatrix} - a \begin{vmatrix} c & a \\ b & ________ _________ _____ _______ __________ ______ _____ __________.
__________ ____ ______ _________ __________ ___ _________ ___.
____ _________ ____ ___ _____ _________ _______ ___ _________.
____ ____ ________ ________ _______ ________.
____ _____ ________ _________ ________ ___ _________.
___ _________ ____ _________ ______ ______.
______ _______ __________ _______ ________ ____ ____ _________ _________ ___ _____ __________.
___ ________ __________ _________ ___ ________ ________ __________ __________ ____ ______.
________ ______ _____ ________ ______.
_____ ____ _______ ___ _______ ______ _______ _________ _________ _________.
___ _______ ________ __________ _______ ________ __________ _________ ___.
_____ _____ _____ _____ ______ ______ _____ ____ ________.
________ ___ _______ ________ __________ _______ __________ __________ _____ _________ _______.
___ _____ _______ _________ ______ _________ ______ ____ _______ _______ ______ ________.
_____ ___ _____ ____ _____ _______ _______.
__________ _____ _______ _________ ____ ______.
_____ _____ __________ __________ ___ ____ ______ ______ ____ _____ ____ __________.
__________ ______ ___ _________ _________ __________ _______ ________ ______ _________ __________ _____.
__________ ___ ______ ______ _________ ___ _______ ________ ________ ____ ___ ___.
__________ ______ _______ ____ _________ _______ _______ _________ _________ ______ _______ ___.
______ __________ __________ _____ _________ __________ ________ ____.
______ ___ _____ _______ _________ ______ ______ ________ __________ _______.
____ __________ _____ _________ ___ _____ __________ _________.
Get Full Answer on WhatsApp
Related Questions
Find the height of a right cylinder with greatest lateral surface area that may be inscribed in a given sphere of radius R.
Find and
for the function x² sin(y³)+xe3z-cos(z²)=3y-6z+8
Determine the solution of the undamped (forced vibrations) system mü + Ku = Fo cos wt, u(0) = 0, u(0) = 1 When, w ≠
Using vectors, find the area of the triangle ABC with vertices A(1,2,3), B(2, -1, 4) and C(4,5,-1).
If , show that
x
=
x
=
x
.
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].
IGNOU NEWS
Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★