[PDF] Matrix Multiplication - Kuta Software PDF

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These are my lecture notes for my online Coursera course Matrix Algebra We can formally write matrix multiplication in terms of the matrix elements.

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2.1.2 Scalar-Matrix Multiplication ?A . When multiplying a lower triangular matrix L by a diagonal matrix D column n of the matrix.

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21 May 2018 using this algorithm compared to naive matrix multiplication and ... This is the number of operations required to calculate a matrix multi-.

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3.1 Matrix Addition and Scalar Multiplication. 177. Use matrix arithmetic to calculate the change in sales of each product in each store from.

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[PDF] Matrix Multiplication - Kuta Software

Worksheet by Kuta Software LLC 15) Write an example of a matrix multiplication that is undefined 16) In the expression A ? B if A is a 3 × 5 matrix

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EL-9900 Graphing Calculator Multiply the matrices A and B Access the matrix menu Enter two matrices and execute multiplication of the two

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Kuta Software - Infinite Algebra 2 Name___________________________________

PeriodDate____________

Matrix Multiplication

Simplify. Write "undefined" for expressions that are undefined. 1) 0 2 -2 -5 ? 6 -63 02) 6 -3 ? -5 4 3) -5 -5 -1 2 ? -2 -3 3 54) -3 5 -2 1 ? 6 -21 -5 5) 0 5 -3 1 -5 1 ? -4 4-2 -46) 5 3 5

1 5 0 ? -4 2-3 4

3 -5 7) -5 6

0 ? 3 -18)

3 2 5

2 3 1 ? 4 5 -55 -1 6

-1-

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9) 3 -1 -3 6 -6 -6 ? -1 6

5 410)

5 4

2 -1 ? -4

3 11) -1 1 -1

5 2 -5

6 -5 1

-5 6 0 ? 6 55 -66 012) -2 -6 -4 3 5 0 4 -6 ? 2 -2 2 -2 0 -3 13) 2 -5 v ? -5 u- v

0 614)

-4 - y -2 x-4 ? -4 x0 2 y-5

Critical thinking questions:

15) Write an example of a matrix multiplication

that is undefined.16) In the expression A ? B, if

A is a 3 × 5 matrix

then what could be the dimensions of B? -2-

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Kuta Software - Infinite Algebra 2 Name___________________________________

PeriodDate____________

Matrix Multiplication

Simplify. Write "undefined" for expressions that are undefined. 1) 0 2 -2 -5 ? 6 -63 0 6 0 -27 12 2) 6 -3 ? -5 4 -30 24

15 -12

3) -5 -5 -1 2 ? -2 -3 3 5 -5 -10 8 13 4) -3 5 -2 1 ? 6 -21 -5 -13 -19 -11 -1 5) 0 5 -3 1 -5 1 ? -4 4-2 -4 -10 -20

10 -16

18 -24

6) 5 3 5

1 5 0 ? -4 2-3 4

3 -5 -14 -3 -19 22 7) -5 6

0 ? 3 -1

-15 5 18 -6 0 0 8) 3 2 5

2 3 1 ? 4 5 -55 -1 6

Undefined

-1-

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9) 3 -1 -3 6 -6 -6 ? -1 6 5 4 -8 14 33 6
-24 -60 10) 5 4

2 -1 ? -4

3 -8 -11 11) -1 1 -1

5 2 -5

6 -5 1

-5 6 0 ? 6 55 -66 0 -7 -11 10 13 17 60 0 -61 12) -2 -6 -4 3 5 0 4 -6 ? 2 -2 2 -2 0 -3

8 4 14

-14 8 -17

10 -10 10

20 -8 26

13) 2 -5 v ? -5 u- v 0 6 -10 u-32 v 14) -4 - y -2 x-4 ? -4 x0 2 y-5 16 x - 2 y25 y 8 x2 - 8 y20

Critical thinking questions:

15) Write an example of a matrix multiplication

that is undefined.

Many answers. Ex:

1 2

3 4 ? 1 23 45 6

16) In the expression

A ? B, if

A is a 3 × 5 matrix

then what could be the dimensions of B?

5 × Anything

-2-

Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com

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[PDF] [PDF] Matrix Multiplication - Kuta Software

Period____Date________________

Matrix Multiplication

1 5 0 ? -4 2-3 4

0 ? 3 -18)

2 3 1 ? 4 5 -55 -1 6

5 410)

2 -1 ? -4

5 2 -5

6 -5 1

0 614)

Critical thinking questions:

15) Write an example of a matrix multiplication

A is a 3 × 5 matrix

Period____Date________________

Matrix Multiplication

15 -12

10 -16

18 -24

1 5 0 ? -4 2-3 4

0 ? 3 -1

2 3 1 ? 4 5 -55 -1 6

Undefined

2 -1 ? -4

5 2 -5

6 -5 1

8 4 14

10 -10 10

20 -8 26

Critical thinking questions:

15) Write an example of a matrix multiplication

Many answers. Ex:

3 4 ? 1 23 45 6

16) In the expression

A is a 3 × 5 matrix

5 × Anything

PeriodDate____________

PeriodDate____________