Algebra 2-Flashcard 3.1-3.5

Front

What must be true in order to ADD two matrices?

Back

The dimensions must be equal.

Front

Solve the system of equations: x + y = 6, x - y = 0. What is the ordered pair (x,y)?

Back

(3,3)

Front

What are the dimensions of a matrix with 3 rows and 2 columns?

Back

3 x 2

Front

In Matrix R, what element is in the second row, third column?

Back

6

Front

Solve the system of equations: -3x - 4y + 2z = 28, x + 3y - 4z = -31, 2x + 3z = 11. What is the ordered triple (x,y,z)?

Back

(-2,-3,5)

Front

What is a matrix?

Back

A rectangular array of numbers arranged in rows and columns.

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 equal?

Back

They must have the same dimensions and corresponding elements must be equal.

Front

How do you multiply two matrices?

Back

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

Front

What is an ordered pair?

Back

A pair of numbers (x,y) that represent a point in a two-dimensional space.