If , then find |A|.

Engineering

Mathematics

Introduction to Determinants

Properties of Determinant

Question

If $A = [\begin{array}{cc} 10 & 0 \\ 4 & 10 \end{array}]$ , then find |A|.

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Consider the given matrix.

A = [\begin{array}{cc} 10 & 0 \\ 4 & 10 \end{array}]

|A| = (10 × 10) – (0 × 4)

|A| = 100 – 0

|A| = 100

Hence, this is the answer.