If A, B are two n × n non-singular matrices, then - Vidyadip

MCQ

If A, B are two n × n non-singular matrices, then

A
(AB)^-1 does not exist
B
AB is singular
C
(AB)^-1 = A^-1B^-1
D
AB is non-singular

✓

Answer

(d) AB is non-singular
Explanation: If A and B are non - singular then |AB| $\neq 0$
= AB is non - singular matrix
As |AB| = |A||B|

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from Model Paper 6→Model Paper 6 — all question types→Applied Maths STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

The equation of the curve whose slope is given by $\frac{d y}{d x}=\frac{2 y}{x} ; x >0, y >0$ and which passes through the point (1, 1) is:

An insurance company has found that $50\%$ of its claims are for damages resulting from accidents. The probability that a random sample of 10 claims will contain fewer than 2 for accidents is:

If x is the least non-negative integer satisfying 218 $\equiv x(\bmod 7)$, then $x^2+1$ is equal to

If the objective function for an L.P.P. is $Z=3 x-4 y$ and the comer points for the bounded feasible region are (0,$0),(5,0),(6,5),(6,8),(4,10)$ and $(0,8)$, then the maximum of $Z$ occurs at

In what ratio must water be mixed with milk to gain $16 \frac{2}{3} \%$ on selling the mixture at cost price?

A jar full of whisky contains 40% alcohol. A part of this whisky is replaced by another containing 19% alcohol and now the percentage of alcohol is found to be 26%. The quantity of whisky replaced is

If '$m$' is the mean of a Poisson Distribution, then variance is given by _________.

If the objective function for an L.P.P. is Z = 3x + 4y and the comer points for unbounded feasible region are (9, 0), (4, 3), (2, 5) and (0, 8), then the minimum value of Z occurs at

A simple random sample consist of four observation 1, 3, 5, 7. What is the point estimate of population standard deviation?

A fair coin is tossed 100 times. The probability of getting tails an odd number of times is