Question

If A= (k 3 10 5) is a singular matrix

Answer 1

Step-by-step explanation:

Give that :2×2 matrix

A= [ k 10]

3 5

To find :

value of K for which the give matrix A is singluar.

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

[k 10] =0

3 5

5K-30 =0

5K =30

K =30

5

K =6

THE VALUE OF K SHOULD BE 6,FOR THE MATRIX A TO BE SINGULAR.

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