Matrix Operations

Front

What is matrix addition?

Back

Matrix addition involves adding corresponding elements of two matrices of the same dimensions to create a new matrix.

Front

What is the element in the second row, third column of a matrix?

Back

To find the element in the second row, third column, locate the second row and then the third column of the matrix.

Front

What is scalar multiplication in matrix operations?

Back

Scalar multiplication is the process of multiplying every element of a matrix by a scalar (a single number) to create a new matrix.

Front

What does it mean if matrix addition is not possible?

Back

Matrix addition is not possible if the matrices do not have the same dimensions (number of rows and columns).

Front

How do you perform scalar multiplication on a matrix?

Back

Multiply every element of the matrix by the scalar to create a new matrix.

Front

What is the result of adding two matrices of dimensions 2x2?

Back

The result is another 2x2 matrix where each element is the sum of the corresponding elements from the two matrices.

Front

What is the definition of a matrix?

Back

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

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 determinant of a 2x2 matrix?

Back

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

Front

What is a zero matrix?

Back

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