State True or False for the statements

Let ,then

True

Given

We have to prove that

Performing the operation,

Taking 2 common from C₁ and performing the operation C₁ → C₁ – C₂ and C₂→ C₂ – C₃

Here in the second determinant C₁ and C₂ ae identical.

Here in the second determinant C₁ and C₃ are identical.

= 2 (16) = 32

Hence the above statement is true.