Question

question 36 points 1

when matrix a and its inverse matrix \\(a^{-1}\\) are multiplied then the result is an ---------- matrix.

identity

inverse

Explanation:

Define matrix multiplication with its inverse

Using the Matrix Inverse Formula and Matrix Terminology knowledge points

$$ A \cdot A^{-1} = A^{-1} \cdot A = I $$

Identify the resulting matrix type

Using the Matrix Terminology knowledge point

$$ I = \text{identity matrix} $$

Answer:

• identity (Correct answer)
• inverse