Matrix Retake

Front

What is the result of adding the matrices: \[ \begin{pmatrix} 3 & 2 \\ -6 & -6 \end{pmatrix} + \begin{pmatrix} 8 & 2 \\ -4 & 2 \end{pmatrix} \]?

Back

\[ \begin{pmatrix} 11 & 4 \\ -10 & -4 \end{pmatrix} \]

Front

What is the product of the matrices: \[ \begin{pmatrix} 3 & 4 \\ 1 & 2 \end{pmatrix} \times \begin{pmatrix} 5 & 6 \\ 7 & 8 \end{pmatrix} \]?

Back

\[ \begin{pmatrix} 43 & 50 \\ 19 & 22 \end{pmatrix} \]

Front

When a 3x6 matrix is multiplied by a 6x5 matrix, what are the dimensions of the resulting product?

Back

3x5

Front

In matrix operations, which comes first: Row or Column?

Back

Row

Front

What is the determinant of the matrix \[ \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix} \]?

Back

-2

Front

Define a matrix.

Back

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

Front

What is the order of a matrix with 3 rows and 4 columns?

Back

3x4

Front

What is the identity matrix of order 2?

Back

\[ \begin{pmatrix} 1 & 0 \\ 0 & 1 \end{pmatrix} \]

Front

What is the inverse of a matrix?

Back

The inverse of a matrix \( A \) is a matrix \( A^{-1} \) such that \( A \times A^{-1} = I \), where \( I \) is the identity matrix.

Front

What is a scalar multiplication in matrices?

Back

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