Matrices

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are given in the form of rows x columns.

Front

What is the element in the second row, third column of a matrix?

Back

To find the element, locate the second row and then the third column.

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.

Tags

CCSS.HSN.VM.C.8

Front

What is the product of the matrices A and B if A is 2x3 and B is 3x2?

Back

The product will be a 2x2 matrix.

Tags

CCSS.HSN.VM.C.8

Front

What does it mean if the product of two matrices is undefined?

Back

It means that the number of columns in the first matrix does not match the number of rows in the second matrix.

Tags

CCSS.HSN.VM.C.8

Front

What is a scalar multiplication of a matrix?

Back

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

Tags

CCSS.HSN.VM.C.7

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere.

Tags

CCSS.HSN.VM.C.10

Front

What is the transpose of a matrix?

Back

The transpose of a matrix is obtained by flipping it over its diagonal, turning rows into columns and vice versa.

Front

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

Back

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

Front

What is the inverse of a matrix?

Back

The inverse of a matrix A is another matrix, denoted A^-1, such that AA^-1 = I, where I is the identity matrix.

Tags

CCSS.HSA.REI.C.9