SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 =...

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Transcript of SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 =...

Page 1: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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Page 2: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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Page 3: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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to Add and subtract

Page 4: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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Page 5: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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real numbers.

Let a, b, and c represent real numbers.

Page 6: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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Multiplication

Page 7: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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Page 8: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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Page 9: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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Example:

with those of

Page 10: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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Example:

Example:

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Example:

Example:

Page 12: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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Page 13: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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MultiplyingMatrices

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to Add and subtract

Matrices must have

3 1 2 2+ =

Page 15: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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If you CAN multiply two matrices the product is

Page 16: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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Some practice if neded.

Page 17: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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real numbers.

Page 18: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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≠ n,

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over to EDIT to enter values

Page 20: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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Page 21: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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Page 22: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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0 2

Algebra II

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3. b d

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Page 25: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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1132 1072 1072760 910 6101173 1177 1285110 1100 10701114 1118 1174

=2 1 21 2 1

2 3 23 2 3

1 1 10 0 0

521

1 00 00 1

Page 26: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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1132 1072 1072

760 910 610

1173 1177 1285

110 1100 1070

1114 1118 1174

1 5 92 6 103 7 114 8 12

=

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2 1 21 2 1

2 3 23 2 3

1 1 10 0 0

521

1 00 00 1

2 1 21 2 1

2 3 23 2 3

1 1 10 0 0

521

1 00 00 1

Page 28: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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2 1 21 2 1

2 3 23 2 3

1 1 10 0 0

521

1 00 00 1

2 1 21 2 1

2 3 23 2 3

1 1 10 0 0

521

1 00 00 1

Page 29: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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Page 30: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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Page 31: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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Page 32: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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Page 33: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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recursively

Page 34: SMART Notebook€¦ · 25 1132 1072 1072 760 910 610 1173 1177 1285 110 1100 1070 1114 1118 1174 = 2 1 2 1 2 1 2 3 2 3 2 3 1 1 1 0 0 0 5 2 1 1 0 0 0 0 1

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