Problem

The determinant of a matrix is ad − bc (we have seen this quantity in Exercise 2.1.13...

The determinant of a matrix is ad − bc (we have seen this quantity in Exercise 2.1.13 already). Find the determinant of a matrix that represents a(n)

a. orthogonal projection b. reflection about a line c. rotation d. (horizontal or vertical) shear.

What do your answers tell you about the invertibility of these matrices?

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