The sum and product of matrices A and B exist. Which of the...

The sum and product of matrices A and B exist. Which of the following implications are necessarily true? 1. A and B are square matrices of same order. 2.

A

and

B

are non-singular matrices. Select the correct answer using the code given below:

Options

A1 only
B2 only
CBoth 1 and 2
DNeither 1 nor 2

Correct answer

A. 1 only

Step-by-step solution

The correct answer is option A.

Practice Matrices on Quantrex Academy →

More from Matrices

Consider the following statements : I. If n× n(n > 1) matrix is symmetric, then its… NDA 2026 If M is a square matrix such that M^3=M , then how many values of |M| are possible ? NDA 2026 If M_k= bmatrix k & k-1 k-1 & k bmatrix where k is a natural number, then what is… NDA 2026 If M^ T is the transpose of a 2×2 matrix M , then which of the following is/are correct ?… NDA 2026 Consider the following in respect of non-singular matrices A and B : I. (AB)^ -1 = A^ -1… NDA 2025 For the following two (02) items: Let A = pmatrix θ & θ - θ & θ pmatrix . What is [adj\… NDA 2025 Consider the following statements about the matrix M = pmatrix 71 & 23 & 48 57 & 28 & 29… NDA 2025 If [x \ 1 \ 1] pmatrix 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 pmatrix pmatrix 1 1 x pmatrix = [45]… NDA 2025 If A = pmatrix 1 & 2 & 2 2 & 1 & 2 2 & 2 & 1 pmatrix , then what is A^2 - 4A equal to? NDA 2025 If A = pmatrix y & z & x z & x & y x & y & z pmatrix where x , y , z are integers, is an… NDA 2025 If A = pmatrix x & y & z y & z & x z & x & y pmatrix where x , y , z are integers, is an… NDA 2025 For the following two (02) items: Let A = pmatrix θ & θ - θ & θ pmatrix . What is the… NDA 2025 What is the value of the determinant of the inverse of the matrix pmatrix -4 & -5 2 & 2… NDA 2025 If f(θ) = pmatrix θ & θ - θ & θ pmatrix , then what is \ f(π)\ ^2 equal to? NDA 2025 Let X be a matrix of order 3 × 3, Y be a matrix of order 2 × 3 and Z be a matrix of order… NDA 2024 Let A and B be two square matrices of same order. If A B is a null matrix, then which one… NDA 2024 Full Matrices list Matrices JEE Maths PYQs JEE Mathematics PYQs All NDA PYQs