Matrix

What is the result of multiplying a 2 x 3 matrix by a 3 x 2 matrix?

• The result is a 2 x 2 matrix.

• The result is a 3 x 3 matrix.

• The result is a 2 x 3 matrix.

• The result is a 1 x 6 matrix.

What must be true in order to ADD two matrices?

• The dimensions must be equal.

• The matrices must be square.

• The matrices must have different dimensions.

• The matrices must be of the same type.

How do you add two matrices?

• To add two matrices, they must have the same dimensions. Add corresponding elements from each matrix.

• You can add two matrices of any size by simply stacking them on top of each other.

• To add two matrices, multiply each element by 2 before adding them together.

• Add the first matrix to the second matrix by taking the determinant of both.

What is a scalar in matrix operations?

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

• A scalar is a type of matrix that has only one row and one column.

• A scalar is a vector that has both magnitude and direction.

• A scalar is a mathematical operation that combines two matrices.

What is the determinant of a matrix?

• A special number that can be calculated from a square matrix, indicating whether the matrix is invertible.

• A method to find the eigenvalues of a matrix.

• A value that represents the sum of all elements in a matrix.

• A technique used to multiply two matrices.

What is a column matrix?

• A matrix that has only one column.

• A matrix that has only one row.

• A matrix that has multiple rows and columns.

• A matrix that is always square.

What is the inverse of a matrix?

• A matrix that, when multiplied by the original matrix, results in the identity matrix (I).

• A matrix that has all its elements negated.

• A matrix that can only be calculated for square matrices.

• A matrix that is always equal to its transpose.

What is matrix multiplication?

• It involves adding the elements of two matrices.

• Matrix multiplication involves multiplying rows of the first matrix by columns of the second matrix.

• It is the process of finding the determinant of a matrix.

• Matrix multiplication is the same as element-wise multiplication.

What is a zero matrix?

• A matrix where all elements are zero.

• A matrix with only one row and one column.

• A matrix that contains only positive numbers.

• A matrix that is not defined.

What is a transpose of a matrix?

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

• The transpose of a matrix is formed by adding its rows and columns.

• The transpose of a matrix is the same as the original matrix.

• The transpose of a matrix is formed by multiplying it by its inverse.