Question

Find examples of a matrix such that, letting ______, we have ______ is 1-1?

Answer 1

An example of a matrix that is 1-1 when letting ___ is the identity matrix.

Step-by-step explanation:

One example of a matrix that is 1-1 when letting ___ is the identity matrix. The identity matrix is a square matrix where all the elements on the main diagonal are 1 and all the other elements are 0.

For instance, let A be a 2x2 identity matrix:

1001

When we let x and y be vectors in R^2, the system of equations Ax = Ay would imply x = y, showing that the matrix A is 1-1.