For same order square matrix A , B , C , AB = AC B=C, then A will… - Vidyadip

MCQ

For same order square matrix $A , B , C , AB = AC$ $\Rightarrow B=C$, then $A$ will be :

A
Non-invertible matrix
B
Non-zero matrix
C
Unit matrix
✓
Invertible matrix.

✓

Answer

Correct option: D.

Invertible matrix.

(D)
Because in invertible matrix $|A| \neq 0$.

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 Determinants→Determinants — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Find the values of $\sin \left(\frac{\pi}{3}-\sin ^{-1}\left(-\frac{1}{2}\right)\right)$ is equal to

If $\ln \,(x + y) = 2xy,$ then $y'(0) =$

The relation 'R' in N × N such that (a, b)R(c, d) ⇔ a + d = b + c is:

If $f (x) = \int\limits_0^\pi {\frac{{t\,\sin t\,dt}}{{\sqrt {1 + {{\tan }^2}x\,\,\,{{\sin }^2}t} }}\,} $ for $0 < x < \frac{\pi }{2}\,$

The set of equations $\lambda x - y + (\cos\theta ) z = 0$ $3x + y + 2z = 0$ $(\cos\theta )x + y + 2z = 0$ $0 < \theta < 2\pi$ , has non- trivial solution $(s)$

If $A$ is an invertible matrix, then which of the following is not true:

The domain of function $\sin ^{-1} 2 x$ is :

A speaks truth in $75\%$ cases and $B$ seaks truth in $80\%$ cases. Probability that they contradict each other in a statement, is

On the intervl $ (1,3)$, the function $f(x) = 3x + {2 \over x}$ is

For which value of $x$, are the determinants $\left|\begin{array}{cc}2 x & -3 \\ 5 & x \end{array}\right|$ and $\left|\begin{array}{rr}10 & 1 \\ -3 & 2\end{array}\right|$ equal?