Algebra 2 Matrix Quest

Front

What is the inverse of a matrix?

Back

The inverse of a matrix A is another matrix, denoted A⁻¹, such that when A is multiplied by A⁻¹, the result is the identity matrix.

Front

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

Back

For a 2x2 matrix [[a, b], [c, d]], the inverse is given by (1/(ad-bc)) * [[d, -b], [-c, a]], provided that ad-bc ≠ 0.

Front

What is matrix addition?

Back

Matrix addition involves adding corresponding elements of two matrices of the same dimensions.

Front

What must be true in order to ADD two matrices?

Back

The dimensions of the matrices must be equal.

Front

What is matrix subtraction?

Back

Matrix subtraction involves subtracting corresponding elements of two matrices of the same dimensions.

Front

What is a square matrix?

Back

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

Front

What is the determinant of a matrix?

Back

The determinant is a scalar value that can be computed from the elements of a square matrix and provides important properties about the matrix, such as whether it is invertible.

Front

What does it mean for a matrix to be singular?

Back

A singular matrix is a square matrix that does not have an inverse, which occurs when its determinant is zero.

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all elements are zero.

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere, denoted as I.