1. Warmup
Solve each system of equations. 4x – 2y + 5z = 36 2x + 5y – z = –8 –3x + y + 6z = 13
A. (4, –5, 2)
B. (3, –2, 4)
C. (3, –1, 9)
D. no solution

2. 3-5 Operations with Matrices
Need to wear scrubs!
Analyze data in matrices. Addition, subtraction, and scalar multiples of matrices.

3. A matrix is a rectangular array of variables or constants, arranged in rows and columns. Usually they are enclosed in brackets. Each value is called an element.
A matrix can be described by its dimensions. It is usually named with a capitol letter. Matrix A is a 3 x 4 matrix because it has 3 rows and 4 columns (rows are listed first, columns second (down then across))

4. If the dimensions don’t match, it is not possible to add or subtract matrices.

5. Work with a partner to perform the indicated operations
Work with a partner to perform the indicated operations. If the matrix doesn’t exist, write impossible.

6. Work with a partner to perform the indicated operations
Work with a partner to perform the indicated operations. If the matrix doesn’t exist, write impossible.

8. Work with a partner to perform the indicated operations
Work with a partner to perform the indicated operations. If the matrix doesn’t exist, write impossible.
Any conclusions about what operations are always possible? Conditions on others not always possible?