Matrix Basics

Front

What are the dimensions of a matrix with 3 rows and 1 column?

Back

3x1

Front

What is a matrix?

Back

A set of numbers arranged in rows and columns.

Front

What is the result of subtracting the matrix \( \begin{bmatrix} 3 & -8 \\ 0 & -1 \end{bmatrix} \) from \( \begin{bmatrix} 3 & -4 \\ 8 & -13 \end{bmatrix} \)?

Back

\( \begin{bmatrix} 0 & 4 \\ 0 & 0 \end{bmatrix} \)

Front

What is the value of the element c34 in the matrix \( C = \begin{bmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ -10 & 8 & 9 \end{bmatrix} \)?

Back

-10

Front

What is the sum of two matrices \( A = \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \) and \( B = \begin{bmatrix} 5 & 6 \\ 7 & 8 \end{bmatrix} \)?

Back

\( \begin{bmatrix} 6 & 8 \\ 10 & 12 \end{bmatrix} \)

Front

What is the product of a 2x3 matrix and a 3x2 matrix?

Back

A 2x2 matrix.

Front

What is the identity matrix of size 2?

Back

\( \begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix} \)

Front

What does it mean for two matrices to be equal?

Back

They must have the same dimensions and corresponding elements must be equal.

Front

What is the determinant of a 2x2 matrix \( \begin{bmatrix} a & b \\ c & d \end{bmatrix} \)?

Back

\( ad - bc \)

Front

What is a zero matrix?

Back

A matrix in which all elements are zero.