AMDM 1 Unit 5 Test

Front

What is the determinant of a 2x2 matrix?

Back

The determinant of a 2x2 matrix is calculated using the formula ad - bc, where a, b, c, and d are the elements of the matrix.

Front

What is the condition for a matrix to have an inverse?

Back

A matrix has an inverse if and only if its determinant is not equal to zero.

Front

What must be true in order to ADD two matrices?

Back

The dimensions of the matrices must be equal.

Front

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

Back

The formula is ad - bc.

Front

How do you find the difference between two matrices A and B?

Back

To find A - B, subtract corresponding elements of B from A.

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 the matrix [[1, 2], [3, 4]]?

Back

The determinant is (1*4) - (2*3) = 4 - 6 = -2.

Front

Can a matrix with a determinant of 0 have an inverse?

Back

No, a matrix with a determinant of 0 does not have an inverse.

Front

What is the result of adding two matrices of different dimensions?

Back

It is not possible to add matrices of different dimensions.

Front

What is the identity matrix?

Back

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