Cofactor and Adjoint of a matrix

Question

18 Mar 2023

Answer :

Word Count : 337

Cofactors and adjoints are related concepts in linear algebra that are used to compute the inverse of a matrix. Here is a tabular comparison of the two:

Cofactors	Adjoint
A scalar value associated with a particular entry in a matrix.	A matrix obtained by taking the transpose of the ________ __________ _____ ________ __________ _________ ______ _____ ______ __________ _____ _____. ________ ___ ________ _____ ___ ________ ___ ___ ________. ___ _______ ________ _________ __________. ________ _________ _____ _____ ___ ______ ____ ____ ____. _____ _____ _______ _____ _________ ___ ____ _______ __________ _________ ____. ____ __________ __________ _________ _______ __________ ______ _____. _____ __________ ________ __________ ___ _______ ________ _______ ________ ___. ____ ___ _________ ______ ___ _______ __________ ______ ____ ___ ____ _____. _____ __________ ____ _______ ____ _____. _______ _________ _________ __________ ___. ______ ________ ____ _____ ___ ______ ______ _______ _________ ________. ____ ______ __________ __________ ___ ______ ________ __________ ______. _____ __________ _______ ______ _______ ____ _________ _________. _________ _____ _____ ________ _______ ________ _________ _____ _____ ______ _______ _____. ______ ______ ____ ________ ____ _________ _________ __________ _________ ________ __________ ____. ____ _________ _______ ______ ____ _____ ____ ______ ___ ________ _____. _______ _________ __________ _____ ____ _________ _______ _______ ______ ____. _______ ___ __________ ______ ____. ____ _______ ____ __________ ___ ____. ____ _________ _____ ___ ___ ________ ____ ______. ___ ___ ________ _______ ______ ____ _______. ______ ________ ___ ______ _______ _________. ______ ________ __________ ________ __________ _______. ________ ________ ___ _____ ____. _____ _____ _____ ________ _______ ___ _______. _____ _____ __________ ___ __________ _________ ____ ___. ____ ______ _____ _____ _______ ____ _______ _________ __________ ____. ________ _________ ______ _______ __________ __________ ____ ___ _______ ______ __________ __________. _______ _______ _________ ______ _____ ___ __________. ___ ____ ___ ________ ________ ________. _________ _______ ____ _____ _________ _______ _______ __________ ___ _________ __________ __________. ________ _______ _________ _____ _______. ____ _____ ___ ________ _____. _______ __________ _________ _______ ___ ________ _______. Get Full Answer on WhatsApp Related Questions Given $z = f(x_1,x_2) = 4x_1^2 + x_1x_2 + 3x_2^2$ find all second order partial derivatives Quadratic Form Determinants and Matrices Let the demand and cost functions of a monopolist be $p=100-3q+4sqrt{A}$ and $C = 4q^2 + 10q + A$ , where p denotes the price, q the quantity and A the level of advertising expenditure. Find the values of A, q and p that maximises his profit. Cofactor and Adjoint of a matrix Given two matrices: $A = egin{bmatrix} 1 & 2 \ 3 & 4 end{bmatrix}$ and $B = egin{bmatrix} 5 & 6 \ 7 & 8end{bmatrix}$ Show that AB ≠ BA. Hence show that, in general, AB ≠ BA where A and B are (2 x 2) matrices Maximum Value Function IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers Login Cart IGNOU NEWS Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★ Cart ✖ Subtotal:₹200.00 Total:₹200.00 Please Buy Any 1 items to Proceed About Us About IGNOU Academy Cancel & Returns Terms & Conditions Privacy Policy Link Study Material Doubt & Query Question Blog Online Classes Teachers Classes Tuition Social Link © 2026 IGNOU Academy. All Rights Reserved. 2025 New Top 📞 Call Support Instant phone assistance Cofactor and Adjoint of a matrix → 🟢 WhatsApp Chat Fast live messaging → ✉ Email Us Business enquiries & support →

Cofactors

Adjoint

A scalar value associated with a particular entry in a matrix.

A matrix obtained by taking the transpose of the ________ __________ _____ ________ __________ _________ ______ _____ ______ __________ _____ _____.
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