Module Matrices Test Remediation

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are given in the form of rows x columns (e.g., 3x4 means 3 rows and 4 columns).

Front

What does it mean if a matrix operation is 'not possible'?

Back

An operation is 'not possible' if the matrices involved do not conform to the rules for that operation, such as mismatched dimensions for addition or multiplication.

Front

What is a matrix inverse?

Back

A matrix inverse is a matrix that, when multiplied with the original matrix, yields the identity matrix. Not all matrices have inverses.

Front

How can you determine if a matrix has an inverse?

Back

A matrix has an inverse if it is square (same number of rows and columns) and its determinant is not zero.

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 important properties about the matrix, such as whether it is invertible.

Front

What does a determinant value of -18 indicate?

Back

A determinant value of -18 indicates that the matrix is invertible and that the transformation represented by the matrix involves a reflection.

Front

What is the significance of the element a23 in a matrix?

Back

The element a23 refers to the element located in the 2nd row and 3rd column of a matrix.

Front

How do you perform matrix addition?

Back

Matrix addition is performed by adding corresponding elements of two matrices of the same dimensions.

Front

What is matrix multiplication?

Back

Matrix multiplication involves taking the dot product of rows and columns from two matrices, and the number of columns in the first matrix must equal the number of rows in the second.

Front

What is a square matrix?

Back

A square matrix is a matrix with the same number of rows and columns.