Radical and Matrix Test Review

Front

What is the determinant of a 2x2 matrix defined as ⌈a  b⌉
⌊c  d⌋?

Back

The determinant is calculated as ad - bc.

Front

What does it mean for a matrix to have a determinant of 0?

Back

It means the matrix is singular and does not have an inverse.

Front

What are the dimensions of a product of two matrices A (m x n) and B (n x p)?

Back

The resulting matrix will have dimensions m x p.

Front

What is a scalar multiplication of a matrix?

Back

It involves multiplying each element of the matrix by a scalar (a constant number).

Front

If matrix R has an element R_3,2 equal to 8, what does this represent?

Back

It represents the value in the 3rd row and 2nd column of matrix R.

Front

How do you determine if two matrices can be multiplied?

Back

The number of columns in the first matrix must equal the number of rows in the second matrix.

Front

What is the result of multiplying a matrix by the zero matrix?

Back

The result is always the zero matrix of appropriate dimensions.

Front

What is the identity matrix?

Back

An identity matrix is a square matrix with 1s on the diagonal and 0s elsewhere.

Front

What is the formula for the determinant of a 2x2 matrix?

Back

det = ad - bc, where the matrix is ⌈a  b⌉
⌊c  d⌋.

Front

What does it mean for a matrix to be invertible?

Back

A matrix is invertible if its determinant is not equal to 0.