Question

If A is a 2x2 order matrix with
1st row [2 3] and 2nd row [41]
then determinant of A is​

Answer 1

Answer:

answer is in this file

Step-by-step explanation:

Answer 2

The value of the determinant A = - 10

Given :

A is 2 × 2 order Matrix with first row [2 3] and second row [ 4 1 ]

To find :

The value of the determinant A

Solution :

Step 1 of 2 :

Find the matrix A

Here it is given that A is 2 × 2 order Matrix with first row [2 3] and second row [ 4 1 ]

So the matrix is given by

$\displaystyle \sf A = \begin{pmatrix} 2 &3\\ 4 & 1 \end{pmatrix}$

Step 2 of 2 :

Find value of the determinant A

The value of the determinant A

= det A

$\displaystyle \sf = \begin{vmatrix} 2 & 3\\4 & 1 \end{vmatrix}$

$= (2 \times 1) - (4 \times 3)$

$= 2 - 12$

$= - 10$

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