INTRO TO MATRICES
Matrices A and B can be multiply if and only if the number of ________________ in A
is equal to the number of _____________ in B.
𝐵=
7 1
−3 0
𝐵
_____________
𝐶=
𝐶
____________
3
5 6
−1 −2 6
=
𝐵𝐶
____________
 Determine whether each matrix product is defined. If so,
state the dimensions of the product. Let 𝐴3𝑥4 , 𝐵4𝑥2 , and
𝐶2𝑥3
1.
𝐴𝐵
2. 𝐴𝐶
3. CAB
Example 1:
Let
BC
𝐵=
=
=
Find the product , if possible.
7
−3
7 1
−3 0
1
0
𝐶=
−2 4 4
−7 11 3
−2 4 4
−7 11 3
+
+
+
+
=
CB =
−2
−7
4 4 7
11 3 −3
1
=
0
+
+
Example 2: Find the product , if possible.
−1
7
=
=
−3 10 7
5 −4 6
+
+
+
+
Example 3: Find the product , if possible.
−9
−11 7 9 8
3
=
=
+
+
The table shows the scoring summary for LeBron James from the 2009-2013.
LeBron James Regular Season Scoring
Type
2009
2010
2011
2012
2013
2-Point Field Goals
657
639
666
567
662
3-Point Field Goals
132
129
92
54
103
Free Throws
594
593
503
387
403
His total baskets can be summarized in the baskets matrix B. The point values for each
type of basket made can be organized in the point’s value matrix. P.
a. Write both matrix B and Matrix P.
b. What matrix operation would compute the total points LeBron James scored for
each season?
c. Which season did LeBron James scored the most points and how many points did
he score that season?
Assignment
Pg. 183-184
#1-11 odd
#12-14,
#34