Difference between revisions of "Selftest: Multiplication of matrices"
From Robotics
(6 intermediate revisions by the same user not shown) | |||
Line 1: | Line 1: | ||
− | {{ExerciseNavigation|previous=[[Selftest:Addition of matrices|Addition of matrices]]|chapter=[[Matrices]]|article=[[Multiplication of matrices]]|next=[[Selftest:The determinant of a matrix| | + | {{ExerciseNavigation|previous=[[Selftest: Addition of matrices|Addition of matrices]]|chapter=[[Matrices]]|article=[[Multiplication of matrices]]|next=[[Selftest: The determinant of a matrix|Determinant of a matrix]]}} |
<br/> | <br/> | ||
Line 32: | Line 32: | ||
+ <math>(\mathbf{A}\cdot\mathbf{B})\cdot\mathbf{C}=\mathbf{A}\cdot(\mathbf{B}\cdot\mathbf{C})</math> | + <math>(\mathbf{A}\cdot\mathbf{B})\cdot\mathbf{C}=\mathbf{A}\cdot(\mathbf{B}\cdot\mathbf{C})</math> | ||
- <math>(\mathbf{A}+\mathbf{B})\cdot\mathbf{C}=\mathbf{A}+\mathbf{B}\cdot\mathbf{C}</math> | - <math>(\mathbf{A}+\mathbf{B})\cdot\mathbf{C}=\mathbf{A}+\mathbf{B}\cdot\mathbf{C}</math> | ||
− | - <math>\mathbf{A}\cdot(\mathbf{B} | + | - <math>\mathbf{A}\cdot(\mathbf{B}+\mathbf{C})\neq\mathbf{A}\cdot\mathbf{B}+\mathbf{A}\cdot\mathbf{C}</math> |
− | {'''Solve the following | + | {'''Solve the following multiplication:'''<br/> |
:<math> \left[\begin{array}{ccc}1&2&1\\3&1&2\end{array}\right]\left[\begin{array}{cccc}1&1&2&3\\2&1&3&1\\1&2&2&1\end{array}\right]=</math> | :<math> \left[\begin{array}{ccc}1&2&1\\3&1&2\end{array}\right]\left[\begin{array}{cccc}1&1&2&3\\2&1&3&1\\1&2&2&1\end{array}\right]=</math> | ||
|typ="{}" } | |typ="{}" } | ||
{ 6 _3 } { 5 _3 } { 10 _3 } { 6 _3 }<br/>{ 7 _3 } { 8 _3 } { 13 _3 } { 12 _3 } | { 6 _3 } { 5 _3 } { 10 _3 } { 6 _3 }<br/>{ 7 _3 } { 8 _3 } { 13 _3 } { 12 _3 } | ||
+ | |||
+ | {'''Solve the following multiplication:'''<br/> | ||
+ | :<math> \left[\begin{array}{ccc}1&3&2\end{array}\right]\left[\begin{array}{cc}2&1\\1&3\\4&1\end{array}\right]=</math> | ||
+ | |typ="{}" } | ||
+ | { 13 _3 } { 12 _3 } | ||
+ | |||
+ | {'''Solve the following multiplication:'''<br/> | ||
+ | :<math> \left[\begin{array}{cc}1&2\\3&2\end{array}\right]\left[\begin{array}{cc}2&3\\1&2\end{array}\right]=</math> | ||
+ | |typ="{}" } | ||
+ | { 4 _3 } { 7 _3 } <br/> { 8 _3 } { 13 _3 } | ||
</quiz> | </quiz> |
Latest revision as of 10:22, 25 September 2014
← Previous exercise: Addition of matrices | Exercises for chapter Matrices | Article: Multiplication of matrices | Next exercise: Determinant of a matrix → |