Matrix Recovery Test

Front

What is a₂₃?

Back

4

Front

What is the determinant of the matrix ⌈3   0⌉
⌊0   2⌋?

Back

-2

Front

Are the matrices A and B inverses of each other?

Back

Yes

Front

What is the INVERSE of the matrix A= ⌈3   0⌉
⌊0   2⌋?

Back

⌈1/3   0⌉
⌊0   1/2⌋

Front

What is the solution to the system of equations represented by the matrix?

Back

(2, -1, 5)

Front

Define a matrix.

Back

A matrix is a rectangular array of numbers arranged in rows and columns.

Front

What is the determinant of a 2x2 matrix?

Back

For a matrix ⌈a   b⌉
⌊c   d⌋, the determinant is ad - bc.

Front

What does it mean for two matrices to be inverses?

Back

Two matrices A and B are inverses if AB = I, where I is the identity matrix.

Front

How do you find the inverse of a 2x2 matrix?

Back

For a matrix ⌈a   b⌉
⌊c   d⌋, the inverse is (1/determinant) * ⌈d   -b⌉
⌊-c   a⌋.

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere.