Find the values of λ for which the determinant is zero.

A. ∣λ + 2 1 2 λ∣ 50.
B. ∣λ − 5 1 3 λ − 5∣ 51.
C. ∣λ 0 0 2 λ + 1 1 0 2 λ∣ 52.
D. ∣λ 0 2 0 λ 2 1 3 λ − 2∣

Determinant are special number that can only be defined for square matrices.

Step-by-step explanation:

Determinant are particularly important for analysis. The inverse of a matrix exist, if the determinant is not equal to zero.

How to find determinant

For a 2×2 matrix

For a 3×3 matrix

we first decompose it to 2×2

Example

Find the values of λ for which the determinant is zero

Equating the determinant to zero

s = * (1 ±5 )

s = 1.61 or -0.61

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