l.o. multiply matrices by scalars and other matrices
DESCRIPTION
L.O. Multiply matrices by scalars and other matrices. one matrix two matrices. “element”. 285 262. 2 x 28 2 x 5 2 x 26 2 x 2. 2 =. 5610 524. “scalar”. =. Easy... multiply each element of the matrix by the scalar. - PowerPoint PPT PresentationTRANSCRIPT
L.O. Multiply matrices by scalars and other matrices
28 5
26 22 =
“scalar”
2 x 28 2 x 5
2 x 26 2 x 2
56 10
52 4=
Easy... multiply each element
of the matrix by the scalar
“element” one matrix
two matrices
L.O. Multiply matrices by scalars and other matrices
Cereal
Bread
Potatoe
s
Paula 2 4 5
Greg 1 7 3
Pã
o de
Açuca
r
Qu
itan
da
Cereal 120 110
Bread 55 60
Potatoes 35 30
Paula and Greg want to compare the cost of shopping at two supermarkets.
Pão de
Açucar
Qu
itan
da
Paula
Greg
L.O. Multiply matrices by scalars and other matrices
Cereal
Bread
Potatoe
s
Paula 2 4 5
Greg 1 7 3
Pã
o de
Açuca
r
Qu
itan
da
Cereal 120 110
Bread 55 60
Potatoes 35 30
Paula and Greg want to compare the cost of shopping at two supermarkets.
Pão de
Açucar
Qu
itan
da
Paula
Greg
(2 x 3) x (3 x 2) (2 x 2)
The number of columns in the first must equal the number of rows in the
second
L.O. Multiply matrices by scalars and other matrices
Cereal
Bread
Potatoe
s
Paula 2 4 5
Greg 1 7 3
Pã
o de
Açuca
r
Qu
itan
da
Cereal 120 110
Bread 55 60
Potatoes 35 30
The element in the product tells us the row of the first and the column of the second
Pão de
Açucar
Qu
itan
da
Paula
Greg
(2 x 120)
L.O. Multiply matrices by scalars and other matrices
Cereal
Bread
Potatoe
s
Paula 2 4 5
Greg 1 7 3
Pã
o de
Açuca
r
Qu
itan
da
Cereal 120 110
Bread 55 60
Potatoes 35 30 Pão de
Açucar
Qu
itan
da
Paula
Greg
(2 x 120) + (4 x 55)
The element in the product tells us the row of the first and the column of the second
L.O. Multiply matrices by scalars and other matrices
Cereal
Bread
Potatoe
s
Paula 2 4 5
Greg 1 7 3
Pã
o de
Açuca
r
Qu
itan
da
Cereal 120 110
Bread 55 60
Potatoes 35 30 Pão de
Açucar
Qu
itan
da
Paula
Greg
(2 x 120) + (4 x 55) + (5 x 35) = 635
The element in the product tells us the row of the first and the column of the second
L.O. Multiply matrices by scalars and other matrices
Cereal
Bread
Potatoe
s
Paula 2 4 5
Greg 1 7 3
Pã
o de
Açuca
r
Qu
itan
da
Cereal 120 110
Bread 55 60
Potatoes 35 30 Pão de
Açucar
Qu
itan
da
Paula
Greg
(2 x 120) + (4 x 55) + (5 x 35) = 635
The element in the product tells us the row of the first and the column of the second
L.O. Multiply matrices by scalars and other matrices
Cereal
Bread
Potatoe
s
Paula 2 4 5
Greg 1 7 3
Pã
o de
Açuca
r
Qu
itan
da
Cereal 120 110
Bread 55 60
Potatoes 35 30 Pão de
Açucar
Qu
itan
da
Paula
Greg
(2 x 120) + (4 x 55) + (5 x 35) = 635
(2 x 110)
The element in the product tells us the row of the first and the column of the second
L.O. Multiply matrices by scalars and other matrices
Cereal
Bread
Potatoe
s
Paula 2 4 5
Greg 1 7 3
Pã
o de
Açuca
r
Qu
itan
da
Cereal 120 110
Bread 55 60
Potatoes 35 30 Pão de
Açucar
Qu
itan
da
Paula
Greg
(2 x 120) + (4 x 55) + (5 x 35) = 635
(2 x 110) + (4 x 60)
The element in the product tells us the row of the first and the column of the second
L.O. Multiply matrices by scalars and other matrices
Cereal
Bread
Potatoe
s
Paula 2 4 5
Greg 1 7 3
Pã
o de
Açuca
r
Qu
itan
da
Cereal 120 110
Bread 55 60
Potatoes 35 30 Pão de
Açucar
Qu
itan
da
Paula
Greg
(2 x 120) + (4 x 55) + (5 x 35) = 635
(2 x 110) + (4 x 60) + (5 x 30) = 610
The element in the product tells us the row of the first and the column of the second
L.O. Multiply matrices by scalars and other matrices
Cereal
Bread
Potatoe
s
Paula 2 4 5
Greg 1 7 3
Pã
o de
Açuca
r
Qu
itan
da
Cereal 120 110
Bread 55 60
Potatoes 35 30 Pão de
Açucar
Qu
itan
da
Paula
Greg
(2 x 120) + (4 x 55) + (5 x 35) = 635
(2 x 110) + (4 x 60) + (5 x 30) = 610
(1 x 120) +
The element in the product tells us the row of the first and the column of the second
L.O. Multiply matrices by scalars and other matrices
Cereal
Bread
Potatoe
s
Paula 2 4 5
Greg 1 7 3
Pã
o de
Açuca
r
Qu
itan
da
Cereal 120 110
Bread 55 60
Potatoes 35 30 Pão de
Açucar
Qu
itan
da
Paula
Greg
(2 x 120) + (4 x 55) + (5 x 35) = 635
(2 x 110) + (4 x 60) + (5 x 30) = 610
(1 x 120) + (7 x 55) +
The element in the product tells us the row of the first and the column of the second
L.O. Multiply matrices by scalars and other matrices
Cereal
Bread
Potatoe
s
Paula 2 4 5
Greg 1 7 3
Pã
o de
Açuca
r
Qu
itan
da
Cereal 120 110
Bread 55 60
Potatoes 35 30 Pão de
Açucar
Qu
itan
da
Paula
Greg
(2 x 120) + (4 x 55) + (5 x 35) = 635
(2 x 110) + (4 x 60) + (5 x 30) = 610
(1 x 120) + (7 x 55) + (3 x 35) = 610
The element in the product tells us the row of the first and the column of the second
L.O. Multiply matrices by scalars and other matrices
Cereal
Bread
Potatoe
s
Paula 2 4 5
Greg 1 7 3
Pã
o de
Açuca
r
Qu
itan
da
Cereal 120 110
Bread 55 60
Potatoes 35 30 Pão de
Açucar
Qu
itan
da
Paula
Greg
(2 x 120) + (4 x 55) + (5 x 35) = 635
(2 x 110) + (4 x 60) + (5 x 30) = 610
(1 x 120) + (7 x 55) + (3 x 35) = 610
(1 x 110)
The element in the product tells us the row of the first and the column of the second
L.O. Multiply matrices by scalars and other matrices
Cereal
Bread
Potatoe
s
Paula 2 4 5
Greg 1 7 3
Pã
o de
Açuca
r
Qu
itan
da
Cereal 120 110
Bread 55 60
Potatoes 35 30 Pão de
Açucar
Qu
itan
da
Paula
Greg
(2 x 120) + (4 x 55) + (5 x 35) = 635
(2 x 110) + (4 x 60) + (5 x 30) = 610
(1 x 120) + (7 x 55) + (3 x 35) = 610
(1 x 110) + (7 x 60) +
The element in the product tells us the row of the first and the column of the second
L.O. Multiply matrices by scalars and other matrices
Cereal
Bread
Potatoe
s
Paula 2 4 5
Greg 1 7 3
Pã
o de
Açuca
r
Qu
itan
da
Cereal 120 110
Bread 55 60
Potatoes 35 30 Pão de
Açucar
Qu
itan
da
Paula
Greg
(2 x 120) + (4 x 55) + (5 x 35) = 635
(2 x 110) + (4 x 60) + (5 x 30) = 610
(1 x 120) + (7 x 55) + (3 x 35) = 610
(1 x 110) + (7 x 60) + (3 x 30) = 620
The element in the product tells us the row of the first and the column of the second
L.O. Multiply matrices by scalars and other matrices
Cereal
Bread
Potatoe
s
Paula 2 4 5
Greg 1 7 3
Pã
o de
Açuca
r
Qu
itan
da
Cereal 120 110
Bread 55 60
Potatoes 35 30 Pão de
Açucar
Qu
itan
da
Paula
Greg
(2 x 120) + (4 x 55) + (5 x 35) = 635
(2 x 110) + (4 x 60) + (5 x 30) = 610
(1 x 120) + (7 x 55) + (3 x 35) = 610
(1 x 110) + (7 x 60) + (3 x 30) = 620
The element in the product tells us the row of the first and the column of the second
L.O. Multiply matrices by scalars and other matrices
4 -1 2
3 6 -4
3 1 0
-2 4 6
7 2 -1=
The element in the product tells us the row of the first and the column of the second
L.O. Multiply matrices by scalars and other matrices
4 -1 2
3 6 -4
3 1 0
-2 4 6
7 2 -1=
The element in the product tells us the row of the first and the column of the second
L.O. Multiply matrices by scalars and other matrices
4 -1 2
3 6 -4
3 1 0
-2 4 6
7 2 -1=
The element in the product tells us the row of the first and the column of the second
L.O. Multiply matrices by scalars and other matrices
4 -1 2
3 6 -4
3 1 0
-2 4 6
7 2 -1=
The element in the product tells us the row of the first and the column of the second
L.O. Multiply matrices by scalars and other matrices
4 -1 2
3 6 -4
3 1 0
-2 4 6
7 2 -1=
The element in the product tells us the row of the first and the column of the second
L.O. Multiply matrices by scalars and other matrices
4 -1 2
3 6 -4
3 1 0
-2 4 6
7 2 -1=
The element in the product tells us the row of the first and the column of the second