Solve a System of Equations Using the Multiplicative Inverse

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Pre-Calculus › Solve a System of Equations Using the Multiplicative Inverse

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What is the inverse of the identiy matrix $\begin{bmatrix} 1& 0\ 0 &1 \end{bmatrix}$ ?

The identity matrix $\begin{bmatrix} 1&0 \0 & 1 \end{bmatrix}$

$\begin{bmatrix} 1& 1\ 1 & 1 \end{bmatrix}$

$\begin{bmatrix} 0&0 \0 & 0 \end{bmatrix}$

$\begin{bmatrix} 2& -1\-1 & 2 \end{bmatrix}$

Explanation

By definition, an inverse matrix is the matrix B that you would need to multiply matrix A by to get the identity. Since the identity matrix yields whatever matrix it is being multiplied by, the answer is the identity itself.

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