TEST MATRIX OPERATIONS

Front

What is a matrix?

Back

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

Front

What does it mean to add two matrices?

Back

To add two matrices, they must have the same dimensions, and you add corresponding elements.

Front

What is the result of subtracting matrix A from matrix B?

Back

The result is a new matrix where each element is the difference of the corresponding elements from B and A.

Front

What are the conditions for matrix multiplication?

Back

The number of columns in the first matrix must equal the number of rows in the second matrix.

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere.

Front

How do you find the transpose of a matrix?

Back

The transpose of a matrix is obtained by swapping its rows and columns.

Front

What is a determinant?

Back

The determinant is a scalar value that can be computed from the elements of a square matrix, providing important properties of the matrix.

Front

What does it mean for two matrices to be equal?

Back

Two matrices are equal if they have the same dimensions and all corresponding elements are equal.

Front

What is the inverse of a matrix?

Back

The inverse of a matrix A is another matrix, denoted A^-1, such that A * A^-1 = I, where I is the identity matrix.

Front

What is a scalar multiplication of a matrix?

Back

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