Q3 of 110 Page 258

Let A be a square matrix of order 3, write the value of |2A|, where |A| = 4.

Theorem: If A be k × k matrix then |pA|=pk|A|.

Given: p=2, k=3 and|A|=4


|2A|=23 × |A|


=8 × 4


= 32


More from this chapter

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1

If A is a 2 × 2 matrix such that |A| ≠ 0 and |A| = 5, write the value of |4A|.

 2

If A is a 3 × 3 matrix such that |A| ≠ 0 and |3A| = k|A| then write the value of k.

 4

If Aij is the cofactor of the element aij of then write the value of (a32A32).

5

Evaluate