Q1 of 256 Page 7

Evaluate the following determinant:

Applying, C₁ → C₁ – 4 C₃, we get,

Applying, R₁ → R₁ + R₂ and R₃→ R₃ – R₂, we get

Now, applying R₂ → R₂ + 3 R₁, we get,

= 1[(109)(12) – (119)(11)] = 1308 – 1309

= – 1

So, Δ = – 1

For what value of x matrix A is singular?

Evaluate the following determinant: