Matrix Operations & Inverse

Front

What is A^-1?

Back

A^-1 is the inverse of matrix A, such that A * A^-1 = I, where I is the identity matrix.

Front

What are the dimensions of a matrix with 3 rows and 2 columns?

Back

3 x 2

Front

Multiply the following matrices: 20 15 -10 30 -5 0 and -20 15 -10 30 -5 0

Back

-20 15 -10 30 -5 0

Front

What must be true in order to ADD two matrices?

Back

The dimensions must be equal.

Front

Add the following matrices: 11 8 -4 2 and 3 2 -6 -6

Back

14 10 -10 -4

Front

What is a matrix?

Back

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

Front

What is the identity matrix?

Back

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

Front

What is the determinant of a 2x2 matrix?

Back

For a matrix [[a, b], [c, d]], the determinant is ad - bc.

Front

What is matrix multiplication?

Back

Matrix multiplication involves multiplying rows of the first matrix by columns of the second matrix.

Front

What is a square matrix?

Back

A square matrix is a matrix with the same number of rows and columns.