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Matrix products and transposes (same as WBQ 1.31)
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A combination of tasks: checking which matrix products exist, calculating some of these products, calculating transpose matrices. Comparing product of transpose with transpose of product. Experiencing associativity of matrix multiplication. Not much randomisation, only in which matrix product is computed as second option.
Comprehensive solution written out in Advice.
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England schools
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England university
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Scotland schools
Taxonomy: mathcentre
Taxonomy: Kind of activity
Taxonomy: Context
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said | Ready to use | 4 years, 6 months ago |
History
Julia Goedecke 4 years, 6 months ago
Published this.Julia Goedecke 4 years, 6 months ago
Gave some feedback: Ready to use
Julia Goedecke 4 years, 6 months ago
Created this as a copy of Can you multiply these matrices? (same as WBQ 1.28).Name | Status | Author | Last Modified | |
---|---|---|---|---|
Can you multiply these matrices? (same as WBQ 1.28) | Ready to use | Julia Goedecke | 25/08/2021 12:57 | |
Can you multiply matrices of these sizes? | Ready to use | Julia Goedecke | 25/08/2021 12:57 | |
Matrix products and transposes (same as WBQ 1.31) | Ready to use | Julia Goedecke | 25/08/2021 12:57 | |
Matrix products: any combination from WBQ 1.28/1.31 | Ready to use | Julia Goedecke | 25/08/2021 12:57 | |
Matrix multiplication | Ready to use | Julia Goedecke | 25/08/2021 12:57 | |
copy of Matrix products and transposes (same as WBQ 1.31) | Ready to use | Julia Goedecke | 25/08/2021 12:57 | |
Matrix multiplication | Ready to use | Julia Goedecke | 25/04/2022 09:56 |
There are 34 other versions that do you not have access to.
Name | Type | Generated Value |
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A | matrix |
matrix([3,0],[-1,2],[1,1])
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B | matrix |
matrix([4,-1],[0,2])
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C | matrix |
matrix([1,4,2],[3,1,5])
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D | matrix |
Matrix of size 3×3
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F | matrix |
Matrix of size 3×3
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firstmatrix | matrix |
matrix([1,4,2],[3,1,5])
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secondmatrix | matrix |
matrix([3,0],[-1,2],[1,1])
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secondmatrixname | string |
A
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firstmatrixname | string |
C
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Name | Type | Generated Value |
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rawunresolvedAB | list |
List of 12 items
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unresolvedAB | string |
\begin{pmatrix}3\cdot4+0\cdot0
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rawunresolvedRandomProduct | list |
List of 12 items
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unresolvedRandomProduct | string |
\begin{pmatrix}1\cdot3+4\cdot(
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rawunresolvedBTAT | list |
List of 12 items
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unresolvedBTAT | string |
\begin{pmatrix}4\cdot3+0\cdot0
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BTAT | matrix |
matrix([12,-4,4],[-3,5,1])
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rawunresolvedCCT | list |
List of 12 items
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unresolvedCCT | string |
\begin{pmatrix}1\cdot1+4\cdot4
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Name | Type | Generated Value |
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symbols | list |
Nested 2×2 list
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rawgeneralA | list |
List of 4 items
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generalA | string |
\begin{pmatrix}a_{11}&a_{12}\\
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rawgeneralB | list |
List of 4 items
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generalB | string |
\begin{pmatrix}b_{11}&b_{12}\\
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rawgeneralAB | list |
List of 8 items
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generalAB | string |
\begin{pmatrix}a_\{11\}\cdot b
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Name | Type | Generated Value |
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Generated value: matrix
matrix([3,0],[-1,2],[1,1])
→ Used by:
- BTAT
- firstmatrix
- firstmatrixname
- rawunresolvedAB
- rawunresolvedBTAT
- secondmatrix
- secondmatrixname
- Statement
- Advice
- "Compute some matrix products" → "Gap 0." - Correct answer
- "Transpose a matrix" → "A transpose" - Correct answer
- "Compute further products" → "B^TA^T" - Correct answer
- "Compute further products" → "A(BC)" - Correct answer
- "Compute further products" → "(AB)C" - Correct answer
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