Matrices

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 of rows x columns.

Front

Can two matrices be added?

Back

Yes, two matrices can be added if they have the same dimensions.

Front

Can two matrices be multiplied?

Back

Yes, 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 the result of multiplying a 2x3 matrix by a 3x2 matrix?

Back

The result is a 2x2 matrix.

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 zero matrix?

Back

The zero matrix is a matrix in which all entries are zero.

Front

How do you find the transpose of a matrix?

Back

The transpose of a matrix is found by swapping its 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 information about the matrix's properties.

Front

What is a scalar multiplication of a matrix?

Back

Scalar multiplication involves multiplying each entry of a matrix by a scalar (a single number).