Download App

MATRICES — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsMATRICES1 Mark
MCQ
If A and B are square matrices such that AB = I and BA = I, then B is:
  • A
    Unit matrix
  • B
    Null matrix
  • ✓
    Multiplicative inverse matrix of A
  • D
    -A
✓

Answer

Correct option: C.
Multiplicative inverse matrix of A
$\text{AB}=\begin{bmatrix}\text{I}&\text{amp; }\end{bmatrix}\text{BA}=\text{I}$ is the multiplicative inverse of A.

Hence, the answer is multiplicative inverse matrix of A.

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

Similar questions

The solution of the differential equation $\frac{{dy}}{{dx}} + \frac{{3{x^2}}}{{1 + {x^3}}}y = \frac{{{{\sin }^2}x}}{{1 + {x^3}}}$ is
→
Let $A = \{ {x_1},\,{x_2},\,............,{x_7}\} $ and $B = \{ {y_1},\,{y_2},\,{y_3}\} $ be two sets containing seven and three distinct elements respectively. Then the total number of functions $f : A \to B$ that are onto, if there exist exactly three elements $x$ in $A$ such that $f(x)\, = y_2$, is equal to
→
$\int\cos(\log_\text{e}.\text{x})\text{dx}$ is equal to:
→
If matrix $\text{A}=\big[\text{a}_{\text{ij}}\big]_{2\times2'}$ where $\text{a}_\text{ij}=\begin{cases}1,&\text{if }\text{i }\neq\text{j}\\0,&\text{if }\text{i }=\text{j}\end{cases},$ then $A^2$ is equal to:
→
Choose the correct answer from the given four options. General solution of $\frac{\text{dy}}{\text{dx}}+\text{y}\tan\text{x}=\sec\text{x}$ is :
→
If four distinct points with position vectors $\vec{a}, \vec{b}, \vec{c}$ and $\vec{d}$ are coplanar; then $[\vec{a} \vec{b} \vec{c}]$ is equal to
→
If $\phi (x) = {a^x}$, then ${\{ \phi (p)\} ^3} $ is equal to
→
An urn contains $9$ balls two of which are red, three blue and four black. Three balls are drawn at random. The probability that they are of the same colour is,
→
One Indian and four American men and their wives are to be seated randomly around a circular table. Then the conditional probability that the Indian man is seated adjacent to his wife given that each American man is seated adjacent to his wife is
→
A player $X$ has a biased coin whose probability of showing heads is $p$ and a player $Y$ has a fair coin . They start playing a game with their own coins and play alternately . The player who throws a head first is a winner. If $X$ starts the game, and the probability of winning the game by both the players is equal, then the value of $'p'$ is
→