Mathematics MCQs

Linear Algebra - Determinants Questions with solutions MCQs

1. Consider the following pairs regarding determinants and matrices: (a) Square matrix has two identical rows (b) 3?3 Identity matrix (c) 3?3 diagonal matrix with diagonal entries 1, 2 and 3 (d) P and Q are two 3?3 matrices with det(P)=2 and det(Q)=4. Then the determinant of P^T Q^2 is Match with: 1) Determinant = 1 2) Determinant = 4 3) Determinant = 0 4) Determinant = 32

A

a-3, b-1, c-4, d-2

B

a-3, b-2, c-5, d-1

C

a-4, b-1, c-5, d-3

D

a-3, b-1, c-6, d-4

Linear Algebra - Determinants Account Ast. 2024
Correct Answer : D
Explanation :

Two identical rows ? det=0; Identity ? det=1; Diagonal(1,2,3) ? det=6 (product); det(P^TQ^2)=det(P)?det(Q)^2 = 2?16=32.

Correct Answered :

Wrong Answered :

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