Mathematics
The product of A = and matrix M, AM = B where B = , then the order of matrix M is ............... . 1. 2 × 2 2. 2 × 1 3. 1 × 2 4. 4 × 1
Answer
Order of matrix A = 2 × 2
Order of matrix B = 2 × 1
Order of matrix M (let) = a × b
We know that,
Two matrix can be multiplied if the no. of columns of the first matrix is equal to the no. of rows of the second matrix and the resultant matrix has the no. of rows of first matrix and no. of columns of second matrix.
Given,
⇒ AM = B
⇒ A2 × 2 × Ma × b = B2 × 1
⇒ a = 2 and b = 1.
Order of matrix M = 2 × 1.
Hence, Option 2 is the correct option.
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