Matrix Operations

Front

What are the dimensions of a matrix with 7 rows and 3 columns?

Back

7 x 3

Front

What is the result of adding two matrices of the same dimensions?

Back

The sum is a matrix of the same dimensions where each element is the sum of the corresponding elements.

Front

What is the result of the matrix subtraction if A = [[20, 10], [30, 40]] and B = [[7, 6], [19, 17]]?

Back

A - B = [[13, 4], [11, 23]]

Front

If matrix A is 3 x 2 and matrix B is 2 x 4, what are the dimensions of the product AB?

Back

3 x 4

Front

What is the result of subtracting the following matrices: [[3, -8], [-8, 1]] and [[0, -1], [3, -4]]?

Back

[[3, -7], [-11, 5]]

Front

What is a scalar multiplication of a matrix?

Back

Multiplying each element of the matrix by a scalar (a single number).

Front

What is the identity matrix for 2 x 2 matrices?

Back

[[1, 0], [0, 1]]

Front

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

Back

ad - bc

Front

What is the transpose of a matrix?

Back

A new matrix obtained by swapping rows and columns.

Front

What is the condition for two matrices to be added?

Back

They must have the same dimensions.