# Recent questions tagged matrix

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What is the dot product of $\mathbf{u}$ a column matrix and $\mathbf{v}$ a column matrix?
What is the dot product of $\mathbf{u}$ a column matrix and $\mathbf{v}$ a column matrix?What is the dot product of $\mathbf{u}$ a column matrix and $\mathbf{v}$ a column matrix? ...
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What is the dot product of u a row matrix and v a column matrix?
What is the dot product of u a row matrix and v a column matrix?What is the dot product of u a row matrix and v a column matrix? ...
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What is the dot product of u a column matrix and v a row matrix?
What is the dot product of u a column matrix and v a row matrix?What is the dot product of u a column matrix and v a row matrix? ...
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If A is an $n\times n$ matrix and u and v are $n\times 1$ matrices, then prove that $\boldsymbol{A u} \cdot \mathbf{v}=\mathbf{u} \cdot \boldsymbol{A}^{T} \mathbf{v}$
If A is an $n\times n$ matrix and u and v are $n\times 1$ matrices, then prove that $\boldsymbol{A u} \cdot \mathbf{v}=\mathbf{u} \cdot \boldsymbol{A}^{T} \mathbf{v}$If A is an $n\times n$ matrix and u and v are $n\times 1$ matrices, then prove that $\boldsymbol{A u} \cdot \mathbf{v}=\mathbf{u} \cdot \boldsymbol{A} ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Can you do matrix multiplication using dot products? 1 answer 10 views Can you do matrix multiplication using dot products?Can you do matrix multiplication using dot products? ... close 0 answers 101 views Let$\mathbf{u}$be a vector in$R^{100}$whose$i$th component is$i$, and let$\mathbf{v}$be the vector in$R^{100}$whose$i$th component is$1 /(i+1)$. Find the dot product of$\mathbf{u}$and$\mathbf{v}$.Let$\mathbf{u}$be a vector in$R^{100}$whose$i$th component is$i$, and let$\mathbf{v}$be the vector in$R^{100}$whose$i$th component is$1 ...
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What is the dot product of u a row matrix and v a row matrix?
What is the dot product of u a row matrix and v a row matrix?What is the dot product of u a row matrix and v a row matrix? ...
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Let $A$ and $B$ be $n \times n$ matrices. Which of the following is true?
Let $A$ and $B$ be $n \times n$ matrices. Which of the following is true?Let $A$ and $B$ be $n \times n$ matrices. Which of the following is true? &nbsp; A) $\operatorname{det}(A)=\operatorname{det}(-A)$ B) $\operatornam ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Which of the following operations does not change the determinant? 0 answers 4 views Which of the following operations does not change the determinant?Which of the following operations does not change the determinant? &nbsp; A) interchanging two rows B) multiplying a row by a constant C) adding t ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 If$\underline{a}=(2,1,-1)$and$\underline{b}=(-1,2,1)$, then$2 \underline{a}-3 \underline{b}$is equal to 0 answers 6 views If$\underline{a}=(2,1,-1)$and$\underline{b}=(-1,2,1)$, then$2 \underline{a}-3 \underline{b}$is equal toIf$\underline{a}=(2,1,-1)$and$\underline{b}=(-1,2,1)$, then$2 \underline{a}-3 \underline{b}$is equal to &nbsp; A)$(1,-4,-5)$B)$(7,-4,5)$C ... close 0 answers 7 views Let$z_{1}=\left|z_{1}\right|\left(\cos \left(\theta_{1}\right)+i \sin \left(\theta_{1}\right)\right)$and$z_{2}=\left|z_{2}\right|\left(\cos \left(\theta_{2}\right)+i \sin \left(\theta_{2}\right)\right)$be two complex numbers.Let$z_{1}=\left|z_{1}\right|\left(\cos \left(\theta_{1}\right)+i \sin \left(\theta_{1}\right)\right)$and$z_{2}=\left|z_{2}\right|\left(\cos \left(\ ...
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Find the inverse of the matrix $$A=\left(\begin{array}{lll} 4 & 3 & 4 \\ 5 & 4 & 6 \\ 4 & 3 & 3 \end{array}\right)$$
Find the inverse of the matrix $$A=\left(\begin{array}{lll} 4 & 3 & 4 \\ 5 & 4 & 6 \\ 4 & 3 & 3 \end{array}\right)$$Find the inverse of the matrix $$A=\left(\begin{array}{lll} 4 &amp; 3 &amp; 4 \\ 5 &amp; 4 &amp; 6 \\ 4 &amp; 3 &amp; 3 \end{array}\right)$$ ...
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Calculate the determinant $$\left|\begin{array}{rrrr} 4 & 2 & 3 & 4 \\ 1 & 0 & 1 & 2 \\ 1 & -1 & 1 & 0 \\ 5 & 1 & 4 & 3 \end{array}\right|$$
Calculate the determinant $$\left|\begin{array}{rrrr} 4 & 2 & 3 & 4 \\ 1 & 0 & 1 & 2 \\ 1 & -1 & 1 & 0 \\ 5 & 1 & 4 & 3 \end{array}\right|$$Calculate the determinant  \left|\begin{array}{rrrr} 4 &amp; 2 &amp; 3 &amp; 4 \\ 1 &amp; 0 &amp; 1 &amp; 2 \\ 1 &amp; -1 &amp; 1 &amp; 0 \\ 5 &amp; ...
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Which of the following is the coefficient matrix for the system  \begin{array}{c} x+4 y=6 \\ 4 x+2 y=z \text { ? } \\ y+5 z=-6 \end{array}
Which of the following is the coefficient matrix for the system  \begin{array}{c} x+4 y=6 \\ 4 x+2 y=z \text { ? } \\ y+5 z=-6 \end{array}Which of the following is the coefficient matrix for the system \begin{array}{c} x+4 y=6 \\ 4 x+2 y=z \text { ? } \\ y+5 z=-6 \end{array} A. $\left\b ... close 0 answers 4 views Which of the following systems has augmented matrix $$\left[\begin{array}{cccc} 1 & 4 & 0 & 6 \\ 4 & 2 & -1 & 0 \\ 0 & 1 & 5 & -6 \end{array}\right] \text { ? }$$Which of the following systems has augmented matrix$\left\begin{array}{cccc}1 &amp; 4 &amp; 0 &amp; 6 \\ 4 &amp; 2 &amp; -1 &amp; 0 \\ 0 &amp; 1 &am ...
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$$\text { The rank of the coefficient matrix } A=\left[\begin{array}{ccc} 1 & 2 & -3 \\ 3 & -1 & 5 \\ 4 & 1 & 2 \end{array}\right] \text { equals: }$$ \text { The rank of the coefficient matrix } A=\left\begin{array}{ccc} 1 &amp; 2 &amp; -3 \\ 3 &amp; -1 &amp; 5 \\ 4 &amp; 1 &amp; 2 ...
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The augmented matrix of a system $A X=B$ has been transformed using elementary row operations to ...
The augmented matrix of a system $A X=B$ has been transformed using elementary row operations to ... \begin{aligned} &amp;\text { The augmented matrix of a system } A X=B \text { has been transformed using elementary row }\\ &amp ...
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What is the product of $A$, $B$ and $C$?
What is the product of $A$, $B$ and $C$? \text { Given } A=\left\begin{array}{ll} 4 &amp; 5 \end{array}\right, B=\left\begin{array}{llll} 1 &amp; 1 &amp; 2 &amp; 1 \end{ar ...
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Let $A$ be an $n \times n$ matrix with $I_{n}$ the identity matrix. The statement det $A \neq 0$ is equivalent to:
Let $A$ be an $n \times n$ matrix with $I_{n}$ the identity matrix. The statement det $A \neq 0$ is equivalent to:Let $A$ be an $n \times n$ matrix with $I_{n}$ the identity matrix. The statement det $A \neq 0$ is equivalent to: &nbsp; A. All the given options a ...
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Which of the following is the equation of the plane through the points $(3,-2,5),(1,4,-1),(2,-6,7) ?$
Which of the following is the equation of the plane through the points $(3,-2,5),(1,4,-1),(2,-6,7) ?$Which of the following is the equation of the plane through the points $(3,-2,5),(1,4,-1),(2,-6,7) ?$ \text { A. }\left|\begin{array} ...
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Let $A$ and $B$ be two square invertible matrices of the same order. Then $\left((A B)^{T}\right)^{-1}$ is equal to
Let $A$ and $B$ be two square invertible matrices of the same order. Then $\left((A B)^{T}\right)^{-1}$ is equal toLet $A$ and $B$ be two square invertible matrices of the same order. Then $\left((A B)^{T}\right)^{-1}$ is equal to &nbsp; A) \$\left(B^{T}\right)^{- ...