If A= 1 2 3 , write AA^T. - Vidyadip

Question

If $\text{A}=\begin{bmatrix}1\\2\\3\end{bmatrix},$ write $AA^T.$

✓

Answer

If $\text{A}=\begin{bmatrix}1\\2\\3\end{bmatrix}$
$\text{A}^\text{T}=\begin{bmatrix}1&2&3\end{bmatrix}$
Now,
$\text{AA}^\text{T}=\begin{bmatrix}1\\2\\3\end{bmatrix}\begin{bmatrix}1&2&3\end{bmatrix}$
$\Rightarrow\ \text{AA}^\text{T}=\begin{bmatrix}1&2&3\\2&4&6\ \\3&6&9\end{bmatrix}$

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 "2 Marks Questions" from MATRICES→MATRICES — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

Prove that the function $f$ given by $f(x) = x^2 - x + 1$ is neither strictly increasing nor decreasing on $(-1, 1)$.

If $\text{A}=\begin{bmatrix}2 & 3 \\4 & 5 \end{bmatrix},$ prove that $A - A^T$ is a skew symmetric matrix.

Show the feasible region of the constraints $\frac{x}{3}+\frac{y}{4} \geq 1, x \geq 0, y \geq 0$.

Find the mean of the following probability distribution:

$\text{X}=\text{x}_\text{i}:$	$1$	$2$	$3$
$\text{P}(\text{X}=\text{x}_\text{i}):$	$\frac{1}{4}$	$\frac{1}{8}$	$\frac{5}{8}$

Find the value of $\tan \left(\frac{1}{2} \cos ^{-1} \frac{2}{\sqrt{5}}\right)$.

The probability distribution function oif a random variable $X$ is given by

$X_i$	$0$	$1$	$2$
$P_i$	$3c^3$	$4c - 10c^2$	$5c - 1$

Where $c > 0$
Find: $\text{P}(1<\text{X}\leq2)$

Evaluate the following:
$\cot^{-1}\Big\{\cot\Big(\frac{21\pi}{4}\Big)\Big\}$

Differentiate the $\sqrt{e^{\sqrt{x}}}, x>0$ w.r.t. x.

Define identity element for a binary operation defined on a set.

A ladder 5 m long is leaning against a wall. The bottom of the ladder is pulled along the ground, away from the wall, at the rate of 2cm/s. How fast is its height on the wall decreasing when the foot of the ladder is 4 m away from the wall?