Matrices Review

Front

What is a matrix?

Back

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

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are given in the form 'rows x columns', indicating the number of rows and columns.

Front

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

Back

For a 2x2 matrix [[a, b], [c, d]], the determinant is calculated as ad - bc.

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 you multiply two matrices of dimensions 3x2 and 2x4?

Back

Yes, the resulting matrix will have dimensions 3x4.

Front

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

Back

The result is a new matrix where each element is the sum of the corresponding elements from the two matrices.

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 inverse of a matrix?

Back

The inverse of a matrix A is another matrix B such that AB = BA = I, where I is the identity matrix.

Front

How do you determine if two matrices can be multiplied?

Back

Two matrices can be multiplied if the number of columns in the first matrix equals the number of rows in the second matrix.

Front

What is a zero matrix?

Back

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