Difference between revisions of "Selftest: Transpose"

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{{ExerciseNavigation|previous=[[Selftest:Matrix multiplication with a scalar|Multiplication with a scalar]]|chapter=[[Matrices]]|article=[[The transpose of a matrix]]|next=[[Selftest:Addition of matrices|Addition of matrices]]}}
+
{{ExerciseNavigation|previous=[[Selftest: Matrix multiplication with a scalar|Multiplication with a scalar]]|chapter=[[Matrices]]|article=[[The transpose of a matrix]]|next=[[Selftest: Addition of matrices|Addition of matrices]]}}
 
<br/>
 
<br/>
  
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{'''Fill in the correct values of the transpose:'''<br/>
 
{'''Fill in the correct values of the transpose:'''<br/>
 
|typ="{}" }
 
|typ="{}" }
<math>\mathbf{A}=\left[\begin{array}{ccc}3&0&1\\2&1&2\\0&3&1\end{array}\right]</math>
+
<math>\mathbf{A}=\left[\begin{array}{ccc}3&1&1\\2&1&2\\1&3&1\end{array}\right]</math>
 
<br/>
 
<br/>
<math>\mathbf{A}^T=</math><br/>{ 3 _2 } { 2 _2 } { 0 _2 }<br/>{ 0 _2 } { 1 _2 } { 3 _2 }<br/>{ 1 _2 } { 2 _2 } { 1 _2 }
+
<math>\mathbf{A}^T=</math><br/>{ 3 _3 } { 2 _3 } { 1 _3 }<br/>{ 1 _3 } { 1 _3 } { 3 _3 }<br/>{ 1 _3 } { 2 _3 } { 1 _3 }
  
 
{'''Fill in the correct values of the transpose:'''<br/>
 
{'''Fill in the correct values of the transpose:'''<br/>
 
|typ="{}" }
 
|typ="{}" }
<math>\mathbf{A}=\left[\begin{array}{cc}2&1\\1&3\\0&2\end{array}\right]</math>
+
<math>\mathbf{A}=\left[\begin{array}{cc}2&1\\1&3\\1&2\end{array}\right]</math>
 
<br/>
 
<br/>
<math>\mathbf{A}^T=</math><br/>{ 2 _2 } { 1 _2 } { 0 _2 }<br/>{ 1 _2 } { 3 _2 } { 2 _2 }
+
<math>\mathbf{A}^T=</math><br/>{ 2 _3 } { 1 _3 } { 1 _2 }<br/>{ 1 _3 } { 3 _3 } { 2 _3 }
  
 
{'''Fill in the correct values of the transpose:'''<br/>
 
{'''Fill in the correct values of the transpose:'''<br/>
 
|typ="{}" }
 
|typ="{}" }
<math>\mathbf{A}=\left[\begin{array}{ccc}2&1&3\\0&2&4\end{array}\right]</math>
+
<math>\mathbf{A}=\left[\begin{array}{ccc}2&1&3\\1&2&4\end{array}\right]</math>
 
<br/>
 
<br/>
<math>\mathbf{A}^T=</math><br/>{ 2 _2 } { 0 _2 } <br/>{ 1 _2 } { 2 _2 } <br/>{ 3 _2 } { 4 _2 }
+
<math>\mathbf{A}^T=</math><br/>{ 2 _3 } { 1 _3 } <br/>{ 1 _3 } { 2 _3 } <br/>{ 3 _3 } { 4 _3 }
 
</quiz>
 
</quiz>

Latest revision as of 10:21, 25 September 2014

← Previous exercise: Multiplication with a scalar Exercises for chapter Matrices | Article: The transpose of a matrix Next exercise: Addition of matrices


1. Fill in the correct values of the transpose:

\mathbf{A}=\left[\begin{array}{ccc}3&1&1\\2&1&2\\1&3&1\end{array}\right]

\mathbf{A}^T=



2. Fill in the correct values of the transpose:

\mathbf{A}=\left[\begin{array}{cc}2&1\\1&3\\1&2\end{array}\right]

\mathbf{A}^T=


3. Fill in the correct values of the transpose:

\mathbf{A}=\left[\begin{array}{ccc}2&1&3\\1&2&4\end{array}\right]

\mathbf{A}^T=



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