12-10 Intro to Matrices

Front

What is a matrix?

Back

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

Front

What is scalar multiplication of a matrix?

Back

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

Front

What is the result of scalar multiplication of the matrix [[-3, 2], [-1, 4]] by the scalar 2?

Back

[[-6, 4], [-2, 8]]

Front

What is the identity matrix?

Back

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

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

You add two matrices by adding their corresponding elements, provided they have the same dimensions.

Front

What is the result of adding the matrices [[1, 2], [3, 4]] and [[5, 6], [7, 8]]?

Back

[[6, 8], [10, 12]]

Front

What is matrix subtraction?

Back

Matrix subtraction involves subtracting corresponding elements of two matrices of the same dimensions.

Front

What is the transpose of a matrix?

Back

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

Front

What is the determinant of a 2x2 matrix [[a, b], [c, d]]?

Back

The determinant is calculated as ad - bc.