If A= [ ll -2 & 4 -1 & 2 ] then find A^2 - Vidyadip

Question

If $A=\left[\begin{array}{ll}-2 & 4 \\ -1 & 2\end{array}\right]$ then find $A^2$

✓

Answer

$\begin{array}{l}A^2=\left[\begin{array}{ll}-2 & 4 \\ -1 & 2\end{array}\right]\left[\begin{array}{ll}-2 & 4 \\ -1 & 2\end{array}\right] \end{array}$
$ =\left[\begin{array}{ll}4-4 & -8+8 \\ 2-2 & -4+4\end{array}\right] $
$ =\left[\begin{array}{ll}0 & 0 \\ 0 & 0\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 "Answer the following questions in short." from Question Bank [2022]→Question Bank [2022] — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

Show that $(\vec{a}-\vec{b}) \times(\vec{a}+\vec{b})=2(\vec{a} \times \vec{b})$

Integrate the following functions w.r.t. x:
$\sin ^4 x \cdot \cos ^3 x$

Diffrentiate the following w. r. t. x.
$\operatorname{cosec}^{-1}\left(e^{-x}\right)$

Using integration, find the area of the region bounded by the line $2y + x = 8 , X−$ axis and the lines $x = 2$ and $x = 4$

Construct a 4 × 3 matrix whose element are:
$\text{a}_\text{ij}=2\text{i}+\frac{\text{i}}{\text{j}}$

Find the vector equation of the plane passing through the point having position vector $2 \hat{i}+3 \hat{j}+4 \hat{k}$ and perpendicular to the vector $2 \hat{i}+\hat{j}-2 \hat{k}$.

Write the differrntial equation representing famliy of curve y = mx, where m is arbitrary constant.

Find the derivative of the function $y=f(x)$ using the derivative of the inverse function $x=f^{-1}(y)$ in the following$y=\ln x$

Evaluate: $\int_1^2 \frac{x}{1+x^2} d x$

Using rules of negation write the negations of the following with justification. ~(p ∧ q) ∨ (p ∨ ~q)