If |A| = 2, where A is 2 × 2 matrix, find |adj A|. - Vidyadip

Question

If $|A| = 2,$ where $A$ is $2 × 2$ matrix, find $|adj\ A|.$

✓

Answer

For any square matrix $A$ of order $n, |adj\ A| = |A|^{n-1}$
Given, $|A| = 2$
Here, order is $2$
$\Rightarrow |adj\ A| = |2|^{2-1} = 2$

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 Determinants→Determinants — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Given $\text{A}=\begin{bmatrix}2 & -3 \\-4 & 7 \end{bmatrix},$ compute $A^{-1}$ and show that $2A^{-1} = 9I – A$.

In a group of 200 items, if the probability of getting a defective item is 0.2, write the mean of the distribution.

Find the value of 'p' for which the vectors $3\hat{\text{i}}+2\hat{\text{j}}+9\hat{\text{k}}$ and $\hat{\text{i}}-2\text{p}\hat{\text{j}}+3\hat{\text{k}}$ are parallel.

If A and B are non-singular matrices of the same order, write whether AB is singular or non-singular.

Evaluate:
$\int\frac{\text{e}^{6\log_\text{e}\text{x}}-\text{e}^{5\log_\text{e}\text{x}}}{\text{e}^{4\log_\text{e}\text{x}}-\text{e}^{3\log_\text{e}\text{x}}}\text{dx}$

Write a value of $\int\sqrt{4-\text{x}^2}\text{ dx}$

Find the vector equation of a plane passing throught a point with position $2\hat{\text{i}}-\hat{\text{j}}+\hat{\text{k}}$ and perpendicular to the vector $4\hat{\text{i}}+2\hat{\text{j}}-3\hat{\text{k}}$

Give example of matrices:
A and B such that AB ≠ BA

If ${\vec a}$ is a unit vector and $(\vec{x}-\vec{a}) \cdot(\vec{x}+\vec{a})=8$, then find $\left| {\vec x} \right|$.

Two tailors, A and B, earn ₹ 300 and ₹ 400 per day respectively. A can stitch 6 shirts and 4 pairs of trousers while B can stitch 10 shirts and 4 pairs of trousers per day. To find how many days should each of them work and if it is desired to produce at least 60 shirts and 32 pairs of trousers at a minimum labour cost, formulate this as an LPP.