Matrices and Vectors

Front

What is a matrix?

Back

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

Front

What is a vector?

Back

A vector is a quantity that has both magnitude and direction, often represented as an arrow in space.

Tags

CCSS.HSN.VM.A.1

Front

How do you add two matrices?

Back

To add two matrices, add their corresponding elements. The matrices must have the same dimensions.

Tags

CCSS.HSN.VM.C.8

Front

What is the result of multiplying a matrix by a scalar?

Back

Multiplying a matrix by a scalar involves multiplying each element of the matrix by that scalar.

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. It acts as the multiplicative identity in matrix multiplication.

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. It acts as the additive identity in matrix addition.

Front

What does it mean for two vectors to be equivalent?

Back

Two vectors are equivalent if they have the same magnitude and direction, regardless of their position in space.

Tags

CCSS.HSN.VM.A.1

Front

How do you subtract two matrices?

Back

To subtract two matrices, subtract their corresponding elements. The matrices must have the same dimensions.

Tags

CCSS.HSN.VM.C.8

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

What is a determinant?

Back

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