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Most Popular Linear Algebra Questions & Answers - Problems, Homework Solutions

Find Reduced Row Echelon Form [[7,6]]

Multiply each element of $R_{1}$ by $\frac{1}{7}$ to make the entry at $1, 1$ a $1$ .

$[\begin{array}{c} \frac{7}{7} & \frac{6}{7} \end{array}]$

', …

Find the Eigenvectors/Eigenspace [[1,-1,0],[-1,2,-1],[0,-1,1]]

Find the eigenvalues.

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Set up the formula to find the characteristic equation $p (λ)$ .

$p (λ) = determinant …$

Find the Eigenvectors/Eigenspace A=[[6,-3],[-2,1]]

Find the eigenvalues.

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Set up the formula to find the characteristic equation $p (λ)$ .

$p (λ) = determinant …$

Find the Characteristic Equation [[1,3,0,0],[2,2,0,0],[0,0,1,3],[0,0,2,2]]

Set up the formula to find the characteristic equation $p (λ)$ .

$p (λ) = determinant (A - λ I_{4}) \dots$

Find the Eigenvectors/Eigenspace A=[[1,0,0],[1,2,0],[-3,5,2]]

Find the eigenvalues.

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Set up the formula to find the characteristic equation $p (λ)$ .

$p (λ) = determinant …$

Find the Characteristic Equation [[2,4,6],[4,5,6],[3,1,-2]]

Set up the formula to find the characteristic equation $p (λ)$ .

$p (λ) = determinant (A - λ I_{3}) \dots$

Find the Eigenvalues [[2,1,1],[1,2,1],[1,1,2]]

Set up the formula to find the characteristic equation $p (λ)$ .

$p (λ) = determinant (A - λ I_{3}) \dots$

Find the Characteristic Equation [[4,1,7,2],[0,3,-1,5],[0,0,8,3],[0,0,0,4]]

Set up the formula to find the characteristic equation $p (λ)$ .

$p (λ) = determinant (A - λ I_{4}) \dots$

Find Reduced Row Echelon Form [[6,-8,10],[-3/4,1,-5/4]]

Multiply each element of $R_{1}$ by $\frac{1}{6}$ to make the entry at $1, 1$ a $1$ .

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Multiply each element …

Find the Eigenvalues [[2,1],[3,4]]

Set up the formula to find the characteristic equation $p (λ)$ .

$p (λ) = determinant (A - λ I_{2}) \dots$

Find the Eigenvalues [[6,8,9],[x,8,6],[5,6,5]]

Nothing further can be done with this topic. Please check the expression entered or try another topic.

$[\begin{array}{c} 6 & 8 & 9 \\ x & 8 & 6 \\ 5 & 6 & 5 … \end{array}$

Find the Inverse [[2,3],[1,1]]

The inverse of a $2 \times 2$ matrix can be found using the formula $\frac{1}{a d - b c} [\begin{array}{c} d & - b \\ - c & a … \end{array}$

Find Reduced Row Echelon Form [[3,-2,7,63],[2,1,-21,28],[1,4,-49,-7]]

Multiply each element of $R_{1}$ by $\frac{1}{3}$ to make the entry at $1, 1$ a $1$ .

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Multiply each element …

Find Reduced Row Echelon Form [[1,-9,16],[0,0,0]]

Nothing further can be done with this topic. Please check the expression entered or try another topic.

$[\begin{array}{c} 1 & - 9 & 16 \\ 0 & 0 & 0 \end{array}]$

Find the Eigenvalues [[-4,0,1],[3,-6,3],[1,0,-4]]

Set up the formula to find the characteristic equation $p (λ)$ .

$p (λ) = determinant (A - λ I_{3}) \dots$

Find Reduced Row Echelon Form [[7,2,1,0],[3,7,0,1]]

Multiply each element of $R_{1}$ by $\frac{1}{7}$ to make the entry at $1, 1$ a $1$ .

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Multiply each element …

Find Reduced Row Echelon Form [[7,2,2],[2,2,7]]

Multiply each element of $R_{1}$ by $\frac{1}{7}$ to make the entry at $1, 1$ a $1$ .

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Multiply each element …

Transpose [[2,-1,1],[3,1,-2],[-1,2,5]]

Transpose the matrix by switching its rows to columns.

$[\begin{array}{c} 2 & 3 & - 1 \\ - 1 & 1 & 2 \\ 1 & - 2 & 5 \end{array}]$

Transpose [[3,1,0],[-1,0,4],[2,2,1]]

Transpose the matrix by switching its rows to columns.

$[\begin{array}{c} 3 & - 1 & 2 \\ 1 & 0 & 2 \\ 0 & 4 & 1 \end{array}]$

Find the Eigenvalues [[0,1],[-1,0]]

Set up the formula to find the characteristic equation $p (λ)$ .

$p (λ) = determinant (A - λ I_{2}) \dots$