Download App

Algebra of Matrices — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsAlgebra of Matrices1 Mark
Question
If $\text{A}[\text{a}_{\text{ij}}]=\begin{bmatrix}2&3&-5\\1&4&9\\0&7&-2\end{bmatrix}$ and $\text{B}=[\text{b}_\text{ij}]=\begin{bmatrix}2&-1\\-3&4\\1&-2\end{bmatrix}$
Then find $a_{11} + b_{11} + a_{22}b_{22}$
✓

Answer

$a_{11} b_{11} + a_{22}b_{22} = (2)(2) + (4)(4) = 4 + 16 = 20$
Hence, $a_{11}b_{11} + a_{22}b_{22} = 20$

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 "1 Marks Question" from Algebra of Matrices→Algebra of Matrices — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Prove that: ${\cot ^{ - 1}}\left( {\frac{{\sqrt {1 + \sin x} + \sqrt {1 - \sin x} }}{{\sqrt {1 + \sin x} - \sqrt {1 - \sin x} }}} \right) = \frac{x}{2}$, $x \in \left( {0,\frac{\pi }{4}} \right)$
→
If $\ \begin{bmatrix}2\text{x} & 5\\8 & \text{x}\\\end{bmatrix} \ = \ \begin{bmatrix}6 & -2\\7 & 3\\\end{bmatrix}, \ $ , Write the value of x.
→
Define position vector.
→
Write the order of the differential equation $1+\Big(\frac{\text{dy}}{\text{dx}}\Big)^{2}=7\Big(\frac{\text{d}^{2}}{\text{dx}^{2}}\Big)^{3}.$
→
Construct a 4 × 3 matrix whose element are:
$\text{a}_\text{ij}=\frac{\text{i}-\text{j}}{\text{i}+\text{j}}$
→
Write the value of the following integral:
$\int\limits_\text{-x\2}^\text{x\2}\ \ \ \ \sin^5\ \text{x}\ \ \text{dx}$
→
If $\begin{pmatrix} 2 & 3 \\ 5 & 7 \\ \end{pmatrix}\begin{pmatrix} 1 & -3 \\ -2 & 4 \\ \end{pmatrix}=\begin{pmatrix} -4 & 6 \\ -9 & x \\ \end{pmatrix}\text{ write the value of x.}$
→
Integrate the function $\frac{\sin x}{\sin (x-a)}$
→
If $\vec{\text{a}}, \text{ }\vec{\text{b}},\text{ } \vec{\text{c}}$ are unit vectors such that $\vec{\text{a}}, \text{ }\vec{\text{b}}, \text{ }\vec{\text{c}}\text{ }=\vec{0},$ then write the value of $\vec{\text{a}} \text{ . }\vec{\text{b}} + \vec{\text{b}} \text{ . } \text{ }\vec{\text{c}} +\vec{\text{c}} . \vec{\text{a}}\text{ }.$
→
If A = $\left[\begin{array}{lll} {1} & {2} & {3} \\ {2} & {3} & {1} \end{array}\right]$and B = $\left[\begin{array}{ccc} {3} & {-1} & {3} \\ {-1} & {0} & {2} \end{array}\right]$ then find 2A – B.
→