Determinants and Matrices

Question

18 Mar 2023

Answer :

Word Count : 245

Matrices and determinants are two related concepts in linear algebra. Here is a tabular comparison of the two:

Matrices	Determinants
A rectangular array of numbers, arranged in rows and columns.	A scalar value ___ ____ ________ ______ ___ _____ ____ _________. ____ ____ ________ _____ ________ _______ ________ _______ __________ _________ __________. ___ ____ __________ _______ ___ ___ _____ _____ _________ _____ _________. ______ ____ ______ __________ ______ ____ __________. __________ ________ ______ ______ ___ ____ _______ ___ __________ __________ ________ _______. ____ ______ ________ _______ _________ _______ _________ ______ _________ ____ ___. ________ ____ _________ _________ _________ _______ _________ ____ ___ ________ ________. ______ ___ __________ _________ ________ ____ ___. ______ ___ ____ _________ __________ _________ _____ __________ __________ ___ _____ _______. ________ ___ _____ ___ __________ ______. ______ ______ __________ _______ _____ ___ ____. ________ ______ ______ __________ ____ _________ ____ __________ _______ _____. _______ ______ ______ _____ _____ __________ _____ ____ __________ _______ _________ ___. ____ _____ _________ ________ _____ _________ ___ _________ _________. _____ ___ ________ _____ ______ ___ ______ ______. _______ ___ _______ _____ ___ _________ ____ _________ _____ __________ ________ ____. _______ __________ _________ ___ ______ ____ ___ __________ _______ _________ ____ _____. _______ _____ ________ _____ _____ ______ ______ ____ __________ ______ ___ _______. ___ ____ _______ ________ _________ _______ ________ ______ ________ ____ _______ _________. ______ __________ ___ _________ ___ __________ ________. ____ ___ ________ _______ ________ _____. ___ ___. Get Full Answer on WhatsApp Related Questions Cofactor and Adjoint of a matrix 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. 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 Find total differential of the following functions. a) $u = 3x^3 - 2y^2$ b) $u = frac{x}{x+y}$ 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. Given $z = f(x_1,x_2) = 4x_1^2 + x_1x_2 + 3x_2^2$ find all second order partial derivatives Minimise $f(x,y) = (x-1)^2 + y^2$ subject to $g(x,y) = y^2 -4x = 0$ 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 Determinants and Matrices → 🟢 WhatsApp Chat Fast live messaging → ✉ Email Us Business enquiries & support →

Matrices

Determinants

A rectangular array of numbers, arranged in rows and columns.

A scalar value ___ ____ ________ ______ ___ _____ ____ _________.
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