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

MCQ

If $A = \left[ {\begin{array}{*{20}{c}}0&2&0\\0&0&3\\{ - 2}&2&0\end{array}} \right]$and $B = \left[ {\begin{array}{*{20}{c}}1&2&3\\3&4&5\\5&{ - 4}&0\end{array}} \right]$, then the element of $3^{rd}$ row and third column in $AB$ will be

A
$-18$
✓
$4$
C
$-12$
D
None of these

✓

Answer

Correct option: B.

$4$

b
(b) In the product $AB$, the required element
${C_{33}} = ( - 2)3 + 2.5 + 0.0 = - 6 + 10 = 4$.

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

Let $\overrightarrow{ a }=2 \hat{ i }+\hat{ j }+\hat{ k }$, and $\overrightarrow{ b }$ and $\overrightarrow{ c }$ be two nonzero vectors such that $|\vec{a}+\vec{b}+\vec{c}|=|\vec{a}+\vec{b}-\vec{c}| \quad$ and $\vec{b} \cdot \vec{c}=0$. Consider the following two statement:

$(A)$ $|\overrightarrow{ a }+\lambda \overrightarrow{ c }| \geq|\overrightarrow{ a }|$ for all $\lambda \in R$.

$(B)$ $\overrightarrow{ a }$ and $\overrightarrow{ c }$ are always parallel

The correct evaluation of $\int_0^{\pi /2} {\left| {\,\sin \left( {x - \frac{\pi }{4}} \right)\,} \right|\,dx} $ is

If $f(x) = \int_{{x^2}}^{{x^2} + 1} {{e^{ - {t^2}}}} dt,$ then $f(x)$ increases in

Consider the binary operation $\times$ on $Q$ defind by $a \times b = a + 12b + ab$ for $a, b \in Q.$ Find $2\times\frac{1}{3}$

The corner points of the feasible region determined by the system of linear constraints are $(0, 10), (5, 5), (15, 15), (0, 20).$ Let $Z = px + qy, $ where $p, q > 0.$ Condition on $p$ and $q$ so that the maximum of $Z$ occurs at both the points $(15, 15)$ and $(0, 20)$ is:

If the position vectors of the point $A, B, C$ be $i, j, k $ respectively and $P $ be a point such that $\overrightarrow {AB} = \overrightarrow {CP} ,$ then the position vector of $P $ is

Let $a, b, c > 0$ and $\Delta = \left| \begin{gathered}
a + b\,\,b\,\,c \hfill \\
b\, + \,c\,\,c\,\,\,a \hfill \\
c + a\,\,a\,\,b \hfill \\
\end{gathered} \right| ,$ then which of the following is not correct?

Suppose that five good fuses and two defective ones have been mixed up. To find the defective fuses, we test them one-by-one, at random and without replacement. What is the probability that we are lucky and find both of the defective fuses in the first two tests?

Line passing through (3, 4, 5) and (4, 5, 6) has direction ratios:

If $A$ is the area in the first quadrant enclosed by the curve $C: 2 x^2-y+1=0$, the tangent to $C$ at the point $(1,3)$ and the line $x+y=1$, then the value of $60 A$ is