We are given that,Order of matrix A = 3|A| = 4We need to find the value of |2A|.By property of determinant of matrix,|KA| = Kn|A|Where, order of the matrix A is n.Similarly,|2A| = 23|A|[∵, Order of matrix A = 3]⇒ |2A| = 8|A|Substituting the value of |A| in the above equation,⇒ |2A| = 8 × 4⇒ |2A| = 32Thus, the value of |2A| is 32.

Q. 425.0( 3 Votes )

A matrix A of ord

Class 12th RD Sharma - Volume 1 6. Determinants

Answer :

We are given that,

Order of matrix A = 3

|A| = 4

We need to find the value of |2A|.

By property of determinant of matrix,

|KA| = Kⁿ|A|

Where, order of the matrix A is n.

Similarly,

|2A| = 2³|A|

[∵, Order of matrix A = 3]

⇒ |2A| = 8|A|

Substituting the value of |A| in the above equation,

⇒ |2A| = 8 × 4

⇒ |2A| = 32

Thus, the value of |2A| is 32.

Rate this question :

How useful is this solution?

We strive to provide quality solutions. Please rate us to serve you better.

PREVIOUSFor what value of NEXTEvaluate: <

Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

view all courses