Systems and Matrices Test

Front

What is the number of columns in a 2x12 matrix?

Back

12

Front

A cashier has 25 coins consisting of nickels, dimes, and quarters with a value of $4.90. If the number of dimes is 1 less than twice the number of nickels, how many of each type of coin does she have?

Back

Nickels: 3, Dimes: 5, Quarters: 17

Front

What is A+B if A = [8, 10] and B = [8, 1]?

Back

A + B = [16, 11]

Front

Given Matrices A (4x33) and B (33x1), what are the dimensions of the product of matrix A and matrix B?

Back

4x1

Front

What is the requirement for the dimensions of matrices in matrix multiplication?

Back

The number of columns in the first matrix must be equal to the number of rows in the second matrix.

Front

Define a matrix.

Back

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

Front

What is a 2x3 matrix?

Back

A matrix with 2 rows and 3 columns.

Front

What is the identity matrix?

Back

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

Front

What is the determinant of a 2x2 matrix?

Back

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

Front

What does it mean for two matrices to be compatible for addition?

Back

Two matrices are compatible for addition if they have the same dimensions.