If A is a square matrix such that A^2 = I, then A^ -1 is equal to… - Vidyadip

MCQ

If $A$ is a square matrix such that $A^2 = I,$ then $A^{-1}$ is equal to:

A
$A + I$
✓
$A$
C
$0$
D
$2A$

✓

Answer

Correct option: B.

$A$

$A^2 = IA^{-1}$
$A^2 = A^{-1}I$
$A = A^{-1}$

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 "M.C.Q (1 Marks)" from Adjoint and Inverse of a Matrix→Adjoint and Inverse of a Matrix — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed 6 times. What are possible values of X?

9, 7, 4, 0
0, 2, 4, 6
6, 7, 7, 2
6, 4,2, 0

Minimize $Z = 20x_1 + 9x_2,$ subject to $\text{x}_{1}\geq0,\text{x}_{2}\geq0,2\text{x}_{1}+2\text{x}_{2}\geq36,6\text{x}_{1}+\text{x}_{2}\geq60.$

A bag containe 5 black, 4white balls and 3 red balls. if a ball is selected randomwise, the probability that it is black or red ball is,

$\frac{1}{3}$
$\frac{1}{4}$
$\frac{5}{12}$
$\frac{2}{3}$

A random variable X has the following probability distribution:

X:	1	2	3	4	5	6	7	8
P(X):	0.15	0.23	0.12	0.10	0.20	0.08	0.07	0.05

Find the events E = {X : X is a prime number}, F{X : X < 4}, the probability $\text{P}(\text{E}\cup\text{F})$ is:

If the three points A(1, 6), B(3, −4) and C(x, y) are collinear, then the equation satisfying by x and y is:

Choose the correct answer from the given four options.
The probability of guessing correctly at least 8 out of 10 answers on a true-false type examination is:

$\frac{7}{64}$
$\frac{7}{128}$
$\frac{45}{1024}$
$\frac{7}{41}$

Choose the correct option from given four options:
$\int\limits^{\frac{\pi}{2}}_0\sqrt{1-\sin2\text{x}}\text{ dx}$ is equal to:

$2\sqrt{2}$
$\big(\sqrt{2}+1)$
$2$
$2\big(\sqrt{2}-1)$

$V$ is a matrix of order 3 such that $\mid$ adj $V \mid=7$.
Which of these could be $|V|$ ?

The area of a triangle with vertices $(-3,0)$, $(3,0)$ and $(0, k)$ is 9 sq. units. The value of $k$ will be

The solution of the equation $\frac{d y}{d x}+2 y=4 x$ is :