Matrix Operations & Solving Systems

Front

What is a matrix?

Back

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

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are given in the form 'rows x columns', indicating how many rows and columns it has.

Front

How do you multiply two matrices?

Back

To multiply two matrices, the number of columns in the first matrix must equal the number of rows in the second matrix. The resulting matrix will have dimensions equal to the number of rows of the first matrix and the number of columns of the second matrix.

Tags

CCSS.HSN.VM.C.8

Front

What is the result of multiplying a 2x3 matrix by a 3x2 matrix?

Back

The result is a 2x2 matrix.

Tags

CCSS.HSN.VM.C.8

Front

What is the value of element R_3,2 in matrix R if R = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?

Back

The value of R_3,2 is 8.

Front

Can you multiply a 2x3 matrix by a 2x2 matrix?

Back

No, you cannot multiply a 2x3 matrix by a 2x2 matrix because the number of columns in the first matrix (3) does not equal the number of rows in the second matrix (2).

Tags

CCSS.HSN.VM.C.8

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere. It acts as the multiplicative identity in matrix multiplication.

Tags

CCSS.HSN.VM.C.10

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all elements are zero.

Front

How do you find the determinant of a 2x2 matrix?

Back

For a 2x2 matrix [[a, b], [c, d]], the determinant is calculated as ad - bc.

Front

What is a system of linear equations?

Back

A system of linear equations is a set of equations with the same variables that can be solved simultaneously.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B