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081 Dani Anto Pakpahan

081 Dani Anto P.

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Books Assigned

Elementary Linear Algebra Version

Elementary Linear Algebra Version

Howard Anton,… 10th Edition
Achievement 1,454 solutions
Linear Algebra

Linear Algebra

StemEZ 1st Edition
Achievement 1,641 solutions
Elementary Linear Algebra with Applications

Elementary Linear Algebra with…

Howard Anton,… 9th Edition
Achievement 1,034 solutions

Viewed Questions

Compute the determinant of $$ \mathrm{A}=\left|\begin{array}{llll}1 & 0 & 0 & 3 \\ 2 & 7 & 0 & 6 \\ 0 & 6 & 3 & 0 \\ 7 & 3 & 1 & -5\end{array}\right| $$

Compute the determinant of $$ \mathrm{A}=\left|\begin{array}{llll}1 & 0 & 0 & 3 \\ 2 & 7 & 0 & 6 \\ 0 & 6 & 3 & 0 \\ 7 & 3 & 1 & -5\end{array}\right| $$

Linear Algebra

Let $A=\left[\begin{array}{rrrr}4 & -1 & 1 & 6 \\ 0 & 0 & -3 & 3 \\ 4 & 1 & 0 & 14 \\ 4 & 1 & 3 & 2\end{array}\right]$ Find (a) $M_{13}$ and $C_{13}$ (b) $M_{23}$ and $C_{23}$ (c) $M_{22}$ and $C_{22}$ (d) $M_{21}$ and $C_{21}$

Let $A=\left[\begin{array}{rrrr}4 & -1 & 1 & 6 \\ 0 & 0 & -3 & 3 \\ 4 & 1 & 0 & 14 \\ 4 & 1 & 3 & 2\end{array}\right]$ Find (a) $M_{13}$ and $C_{13}$ (b) $M_{23}$ and $C_{23}$ (c) $M_{22}$ and $C_{22}$ (d) $M_{21}$ and $C_{21}$

Elementary Linear Algebra Version

Determinants

Determinants by Cofactor Expansion

Solve each of the following systems by Gauss-Jordan elimination. (a) $$ \begin{aligned} x_1+x_2+2 x_3= & 8 \\ -x_1-2 x_2+3 x_3= & 1 \\ 3 x_1-7 x_2+4 x_3= & 10 \end{aligned} $$ (b) $$ \begin{array}{rr} 2 x_1+2 x_2+2 x_3= & 0 \\ -2 x_1+5 x_2+2 x_3= & 1 \\ 8 x_1+x_2+4 x_3= & -1 \end{array} $$ (c) $$ \begin{aligned} x-y+2 z-w & =-1 \\ 2 x+y-2 z-2 w & =-2 \\ -x+2 y-4 z+w & =1 \\ 3 x-3 w & =-3 \end{aligned} $$ (d) $$ \begin{array}{rr} -2 b+3 c= & 1 \\ 3 a+6 b-3 c= & -2 \\ 6 a+6 b+3 c= & 5 \end{array} $$

Elementary Linear Algebra with Applications

Systems of Linear Equations and Matrices

Gaussian Elimination
Let $T: R^4 \longrightarrow R^3$ be the linear transformation given by the formula $T\left(x_1, x_2, x_3, x_4\right)=\left(4 x_1+x_2-2 x_3-3 x_4, 2 x_1+x_2+x_3-4 x_4, 6 x_1-9 x_3+9 x_4\right)$ Which of the following are in $R(T)$ ? (a) $(0,0,6)$ (b) $(1,3,0)$ (c) $(2,4,1)$

Let $T: R^4 \longrightarrow R^3$ be the linear transformation given by the formula $T\left(x_1, x_2, x_3, x_4\right)=\left(4 x_1+x_2-2 x_3-3 x_4, 2 x_1+x_2+x_3-4 x_4, 6 x_1-9 x_3+9 x_4\right)$ Which of the following are in $R(T)$ ? (a) $(0,0,6)$ (b) $(1,3,0)$ (c) $(2,4,1)$

Elementary Linear Algebra with Applications

Linear Transformations

Kernel and Range

Questions asked

ANSWERED

Payton Sawyer verified

Numerade educator

Solve each of the following systems by Gauss-Jordan elimination. (a) [ egin{aligned} x_{1}+x_{2}+2 x_{3} & =8 \ -x_{1}-2 x_{2}+3 x_{3} & =1 \ 3 x_{1}-7 x_{2}+4 x_{3} & =10 end{aligned} ] (b) [ egin{array}{rr} 2 x_{1}+2 x_{2}+2 x_{3}= & 0 \ -2 x_{1}+5 x_{2}+2 x_{3}= & 1 \ 8 x_{1}+x_{2}+4 x_{3}= & -1 end{array} ]

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ANSWERED

Andrew Noble verified

Numerade educator

Let [ A=left[egin{array}{rrrr} 4 & -1 & 1 & 6 \ 0 & 0 & -3 & 3 \ 4 & 1 & 0 & 14 \ 4 & 1 & 3 & 2 end{array} ight] ] Find (a) ( M_{13} ) and ( C_{13} ) (b) ( M_{23} ) and ( C_{23} ) (c) ( M_{22} ) and ( C_{22} ) (d) ( M_{21} ) and ( C_{21} )

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ANSWERED

Brian Beasley verified

Numerade educator

In each part, let ( T: R^{3} longrightarrow R^{3} ) be multiplication by ( A ). Determine whether ( T ) has an inverse; if so, find [ T^{-1}left(left[egin{array}{l} x_{1} \ x_{2} \ x_{3} end{array} ight] ight) ] (a) ( A=left[egin{array}{ccc}1 & 5 & 2 \ 1 & 2 & 1 \ -1 & 1 & 0end{array} ight] ) (b) ( A=left[egin{array}{ccc}1 & 4 & -1 \ 1 & 2 & 1 \ -1 & 1 & 0end{array} ight] )

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