Matrices Review 2

Front

What are the dimensions of a matrix?

Back

The dimensions of a matrix are given in the form of rows x columns (e.g., 3x1 means 3 rows and 1 column).

Front

When can matrices be multiplied?

Back

Matrices can be multiplied if the number of columns in the first matrix is equal to the number of rows in the second matrix.

Tags

CCSS.HSN.VM.C.8

Front

If A is a 2 × 3 matrix and B is a 3 × 4 matrix, how many columns does the product AB have?

Back

The product AB will have 4 columns.

Tags

CCSS.HSN.VM.C.8

Front

What is a matrix?

Back

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

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 zero matrix?

Back

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

Front

How do you add two matrices?

Back

To add two matrices, they must have the same dimensions; add corresponding elements.

Tags

CCSS.HSN.VM.C.8

Front

What is the determinant of a matrix?

Back

The determinant is a scalar value that can be computed from the elements of a square matrix, providing important properties of the matrix.

Front

What is a transpose of a matrix?

Back

The transpose of a matrix is obtained by swapping its rows and columns.

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