If A = left[ {begin{array}{*{20}{c}}3&52&0end{array}} right] and B = left[ {begin{array}{*{2

English

Gujarati

Hindi

3 and 4 .Determinants and Matrices

easy

If $A = \left[ {\begin{array}{{20}{c}}3&5\\2&0\end{array}} \right]$ and $B = \left[ {\begin{array}{{20}{c}}1&{17}\\0&{ - 10}\end{array}} \right]$ then $|AB|$ is equal to

A

$80$

B

$100$

C

$-110$

D

$92$

Solution

(b) Since $A$ and $ B $ are square matrix

$\therefore $$|AB|\, = |A||B|$; $|A|\, = – 10;|B| = – 10$

$\therefore $$|AB|\, = 100$.

Standard 12

Mathematics

Share

Similar Questions

If $A = \left[ {\begin{array}{*{20}{c}}
3&7\\
1&2
\end{array}} \right]$ then $|A^{2011} -5A^{2010}|$ is equal to

normal

If $A =$ $\left( {\begin{array}{*{20}{c}}a&b\\c&d\end{array}} \right)$ satisfies the equation $x^2 – (a + d) x + k = 0$, then

medium

If $A = [1\,\,2\,{\rm{ }}3]$and $B = \left[ {\begin{array}{*{20}{c}}{ – 5}&4&0\\0&2&{ – 1}\\1&{ – 3}&2\end{array}} \right]$, then $AB = $

easy

If $A=\left[\begin{array}{lll}1 & 2 & 3 \\ 2 & 3 & 1\end{array}\right]$ and $B=\left[\begin{array}{rrr}3 & -1 & 3 \\ -1 & 0 & 2\end{array}\right],$ then find $2 A-B$.

easy

Compute the indicated products $\left[\begin{array}{cc}a & b \\ -b & a\end{array}\right]\left[\begin{array}{lc}a & -b \\ b & a\end{array}\right]$

easy