Question

If A= |k 10|
|3. 5|
is a singular matrix, then the
value of K is equel to
(a) 0
(b) 6
(c) -6
(d) 1/6​

Answer 1

Answer:

answer option d. 1/6is correct

Answer 2

Step-by-step explanation:

Given that:

$A=\left[\begin{array}{cc}k&10\\3&5\end {array}\right]$

To find:

Value of k for which the matrix is singular

Solution:

A square matrix is said to be singular,if determinant of matrix is zero.

So,Find the value of determinant and equate it to zero.

$|A| = 0$

$\left|\begin{array}{cc}k&10\\3&5\end {array}\right|=0$

$5k - 30 = 0 \\ \\ 5k = 30 \\ \\ k = \frac{30}{5} \\ \\ k = 6$

The value of k should be 6,for the matrix A to be singular.

Hence option B is correct; k =6

Hope it helps you.