If A is a square matrix of order 3 and a is a real number, then determinant |α A| is equal to

Question

If A is a square matrix of order 3 and a is a real number, then determinant |α A| is equal to (A)  α 2 | A|  (B)  α | A|  (C)  α 3 | A|  (D) None of these

Tardigrade Admin · Accepted Answer

Order of square matrix A is 3 and a∈ R. Then, |α A|3× 3=α 3|A|3× 3

Q. If $A$ is a square matrix of order $3$ and a is a real number, then determinant $∣ α A ∣$ is equal to

$α^{2} ∣ A ∣$

$α ∣ A ∣$

$α^{3} ∣ A ∣$

None of these

Order of square matrix A is 3 and $a \in R .$
Then, $∣ α A ∣_{3 \times 3} = α^{3} ∣ A ∣_{3 \times 3}$

Q. If A is a square matrix of order 3 and a is a real number, then determinant ∣αA∣ is equal to

α2∣A∣

α∣A∣

α3∣A∣