If A = [ * 20 c 1& - 2 3&0 ], B = [ * 20 c - 1 &4 2&3 ], C = [ * … - Vidyadip

MCQ

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

A
$\left[ {\begin{array}{*{20}{c}}8&{20}\\7&9\end{array}} \right]$
✓
$\left[ {\begin{array}{*{20}{c}}8&{ - 20}\\7&{ - 9}\end{array}} \right]$
C
$\left[ {\begin{array}{*{20}{c}}{ - 8}&{20}\\{ - 7}&9\end{array}} \right]$
D
$\left[ {\begin{array}{*{20}{c}}8&7\\{ - 20}&{ - 9}\end{array}} \right]$

✓

Answer

Correct option: B.

$\left[ {\begin{array}{*{20}{c}}8&{ - 20}\\7&{ - 9}\end{array}} \right]$

b
(b) $5A - 3B + 2C = \left[ {\begin{array}{*{20}{c}}5&{ - 10}\\{15}&0\end{array}} \right] - \left[ {\begin{array}{*{20}{c}}{ - 3}&{12}\\6&9\end{array}} \right] - \left[ {\begin{array}{*{20}{c}}0&{ - 2}\\2&0\end{array}} \right]$

$ = \left[ {\begin{array}{*{20}{c}}5&{ - 10}\\{15}&0\end{array}} \right] - \left[ {\begin{array}{*{20}{c}}{ - 3}&{10}\\8&9\end{array}} \right] = \left[ {\begin{array}{*{20}{c}}8&{ - 20}\\7&{ - 9}\end{array}} \right]$.

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 STD 12 - 3 and 4 . determinant and metrices→STD 12 - 3 and 4 . determinant and metrices — all question types→Mathematics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

The minimum value of $\text{x}\log_{\text{e}}\text{x}$ is equal to :

Integrate the following function with respect to x $\int\big(5\text{x}^2+3\text{x}-2\big)\text{dx:}$

If m[-3, 4] + n[4, -3] = [10, -11] then 3m + 7n = 3m + 7n =

The maximum value of $\triangle=\begin{vmatrix}1&1&1\\1&1+\sin\theta&1\\1+\cos\theta&1&1\end{vmatrix}$ is $(\theta$ is real$):$

Choose the correct answer from the given four option.
$\tan^{-1}+\tan^{-1}\text{y}=\text{C}$ is the general solution of the differential equation:

A cone whose height is always equal to its diameter is increasing in volume at the rate of $40\ cm^3/ \sec$. At what rate is the radius increasing when its circular base area is $1m^2\ ?$

Let the value of $p = (x + 4y)\,a + (2x + y + 1)\,b$ and $q = (y - 2x + 2)\,a + (2x - 3y - 1)\,b,$ where $a $ and $b $ are non-collinear vectors. If $3p = 2q,$ then the value of $x $ and $y$ will be

The value of $\int_0^{n\pi + v} {|\sin x|\,dx} $ is

Choose the correct answer from the given four options$:\ f(x) = x^x$ has a stationary point at:

The value of $\int\limits_0^1 {\,\,\frac{{2{x^2}\, + \,3x\, + \,3}}{{(x\, + \,1)\,\,\left( {{x^2}\, + \,2x\, + \,2} \right)}}} dx$ is :