Advanced Algebra (2006-2007)

Chapters 1 & 3 Assignment List

Mr. Danbom

ENDURING UNDERSTANDING: Matrices can be used to store and analyze data.

Essential Questions:

§ Describe the procedure used to multiply matrices.

§ Explain how you can determine if two matrices are inverses of each other.

§ Describe the four methods of solving a system of equations.

§ When is it more convenient to use matrices to solve a system of equations?

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Section 1-3A Page 53 – 56 #1, 2 – 12 even, 13, 15, 17, 39

§ What conditions are necessary in order to add matrices? Describe how to add matrices.

Section 1-3B (Day 1) Page 62 #1 – 14 (multiply by hand)

§ Explain how to find the product of two matrices. In order to multiply matrix A by matrix B, what must be true of the dimensions of the two matrices?

Section 1-3B (Day 2) Page 63 – 65 #15 – 20, 34 – 40, 42 (use calculator)

§ How can you use the labels for the rows and columns of two matrices to determine the order of multiplication?

Section 1-3C Worksheet

§ Explain the difference between scalar multiplication and matrix multiplication.

QUIZ 1-3 A – C

Section 3-1C (Day 1) Worksheet

§ What does it mean to solve a system of equations? When do no solutions exist? When do infinite solutions exist?

Section 3-1D (Day 1) Page 190 #1 – 5 all, 19 – 23 odd (by hand)

§ Is it possible to use both substitution and linear combination to solve a 3 x 3 system? Explain.

Section 3-1C, D (Day 2) Page 183 #12 – 14, 28 - 32 even, 36, 38

Page 190 #6 – 8, 20 – 24 even

(Use calculator to solve)

§ Suppose the coefficient matrix does not have an inverse. Explain how you can use this information to determine whether the equations have no solutions or infinite solutions.

Review Page 195 #1 – 13

Page 70 #14 – 17,

· Answer the unit umbrella questions.

CHAPTERS 1 & 3 TEST Unit questions due

· Read page 307 and answer questions 1 - 3