RE-TAKE TEST MATRIX OPERATIONS 2

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

Front

What is matrix multiplication?

Back

Matrix multiplication is an operation that produces a new matrix by multiplying rows of the first matrix by columns of the second matrix.

Front

How do you determine the number of columns in a matrix?

Back

The number of columns in a matrix is determined by the second number in its dimensions (m x n), where m is the number of rows and n is the number of columns.

Front

What is a scalar in matrix operations?

Back

A scalar is a single number that can multiply a matrix, affecting each element of the matrix.

Front

What does it mean for matrix multiplication to be not possible?

Back

Matrix multiplication is not possible if the number of columns in the first matrix does not equal the number of rows in the second matrix.

Front

How do you perform scalar multiplication on a matrix?

Back

To perform scalar multiplication, multiply each element of the matrix by the scalar value.

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, denoted as I.

Front

What is the transpose of a matrix?

Back

The transpose of a matrix is obtained by flipping it over its diagonal, switching the row and column indices.

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, providing information about the matrix's properties.