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

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

Tags

CCSS.HSN.VM.C.8

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

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

Tags

CCSS.HSN.VM.C.8

Front

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

Back

A 2x2 matrix.

Tags

CCSS.HSN.VM.C.8

Front

What is the identity matrix of size 2?

Back

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

Tags

CCSS.HSN.VM.C.10

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.