Let a, b ∈ R arrow 0 and I2 be the identity matrix of order 2 Then the rank of the (block) matrix [a I2 b I2 a I2 b I2] is

Question

Let a, b ∈ R arrow 0 and I2 be the identity matrix of order 2 Then the rank of the (block) matrix [a I2 b I2 a I2 b I2] is (A) 2 (B) 1 (C) 4 (D) 3

Tardigrade Admin · Accepted Answer

Since a, b ∈ R- 0 and I2 is a identify matrix of order 2. Then the block matrix [a I2 b I2 a I2 b I2] is a non-singular

Q. Let $a, b \in R \to {0}$ , and $I_{2}$ be the identity matrix of order $2$ Then the rank of the (block) matrix $[a I_{2} a I_{2} b I_{2} b I_{2}]$ is