U5D2 Multiplying Matrices Apr3
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Posljednje ažuriranje about 1 year ago
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Find the difference to solve for a, b, c and d.
a =
b =
c =
d =
Find the values of x and y in the following matrix addition.
x =
y =
Find the sum to solve for a, b, c and d.
a =
b =
c =
d =
Learning Matrix Multiplication with Football Scores
In 1966, Washington and New York played the highest scoring game in NFL history. The table summarizes the scoring. A touchdown (TD) is worth 6 points, a field goal (FG) is worth 3 points, a safety (S) is worth 2 points and an extra point (EP) is worth 1 point. Using matrix multiplication, what was the final score?
Washington's Final Score =
New York's Final Score =
We're going to use the "Football Scores" problem to demonstrate how to set this up on Desmos.
1st - You can only multiply two matrices if...
2nd - Open desmos.com and go to the Matrix Calculator.
3rd - Set up matrices.
Notice, it can not do BA =
This is because we con not multiply a 4x1 with a 2x4. Inside numbers must be the same to multiply.
1st, create matrix A as a 1x3 matrix for the cost of each type of taco.
Next, create matrix B as a 3x5 matrix for each day's data.
Multiply A*B.
How much were total sales on each day of the week?
Monday's =
Tuesday's Sales =
Wednesday's Sales =
Thursday's Sales =
Friday's Sales =
Create and label the following matrices:
Calculate VC and label the resulting matrix.
a =
b =
c =
What do the values represent?
Calculate VR and label the resulting matrix.
a =
b =
c =
What do the values represent?
What do the values represent from #8?
What matrix calculation would you perform to determine Amani’s profit for each of his customers?
(there is a hint.)
a =
b =
c =
What information do we get if we convert C from a 3x1 matrix to a 1x3 matrix and then multiply CV?
