 # Get college algebra help

Recent questions in Algebra adOrmaPem6r 2021-11-23 Answered

### Given the following vector X, find anon zero square marix A such that AX=0; You can resize a matrix by clicking and dragging the bottom-right corner of the matrix. $X=\begin{bmatrix}8\\6\\-7\end{bmatrix}$ $A=\begin{bmatrix}0&0&0\\0&0&0\\0&0&0\end{bmatrix}$ Clifton Sanchez 2021-11-23 Answered

### If we have a matrices $A=\begin{bmatrix}a & b \\c & d \end{bmatrix} \text{ and } e_{12}(\lambda)=\begin{bmatrix}1 & \lambda \\0 & 1\end{bmatrix}$ then by doing product $Ae_{12}(\lambda)=\begin{bmatrix}a & a\lambda+b \\c & c\lambda+d \end{bmatrix} \text{ and } e_{12}(\lambda)A=\begin{bmatrix}a+c\lambda & b+d\lambda \\c & d\end{bmatrix}$ we can interpret that right multiplication by $$\displaystyle{e}_{{{12}}}$$ to A gives a column-operation: add $$\displaystyle\lambda$$-times first column to the second column. In similar way, left multiplication by $$\displaystyle{e}_{{{12}}}{\left(\lambda\right)}$$ to A gives row-operation on A. Is there any conceptual (not computational, if any) way to see that elementary row and column operations on a matrix can be expressed as multiplication by elementary matrices on left or right, accordingly? balff1t 2021-11-22 Answered

### Find two linearly independent vectors perpendicular to the vector $\vec{v}=\begin{bmatrix}1\\3\\9\end{bmatrix}$ cleritere39 2021-11-21 Answered

### Find the orthogonal complement of W and give a basis for $W=\{\begin{bmatrix}x\\ y\\ z\end{bmatrix}:x=\frac{1}{2}t,\ y=-\frac{1}{2},\ z=2t\}$ Monincbh 2021-11-21 Answered

### Find the absolute maximum and minimum values of $$\displaystyle{f{{\left({x},{y}\right)}}}={4}{x}{y}^{{2}}−{x}^{{2}}{y}^{{2}}−{x}{y}^{{3}}$$  aidmoon2x 2021-11-21 Answered

### A box contains 5 red and 5 blue marbles. Two marbles are withdrawn randomly. If they are the same color, then you win 1.10; if they are different colors, then you win -1.10; if they are different colors ,then you win−1.00. (This is, you lose \$1.00.) Calculate (a) the expected value of the amount you win; (b) the variance of the amount you win. prelimaf1 2021-11-21 Answered

### Find the change-of-coordinates matrix from $$\displaystyle{\mathcal{{{B}}}}$$ to the standard basis in $$\displaystyle{\mathbb{{{R}}}}^{{{n}}}$$ $\mathcal{B}=\{\begin{bmatrix}3 \\ -1 \\ 4 \end{bmatrix},\begin{bmatrix}2 \\ 0 \\ -5 \end{bmatrix},\begin{bmatrix}8 \\ -2\\ 7\end{bmatrix}\}$ tornesasln 2021-11-20 Answered

### How to calculate the intersection of two planes ? These are the planes and the result is gonna be a line in $$\displaystyle{\mathbb{{{R}}}}^{{3}}$$: $$\displaystyle{x}+{2}{y}+{z}-{1}={0}$$ $$\displaystyle{2}{x}+{3}{y}-{2}{z}+{2}={0}$$ Liesehf 2021-11-20 Answered

### A and B are $$\displaystyle{n}\times\cap\times{n}$$ matrices. Mark each statement True or False. Justify your answer. a. A row replacement operation does not affect the determinant of a matrix. b. The determinant of A is the product of the pivots in any echelon form U of A, multiplied by $$\displaystyle{\left(-{1}\right)}^{{{r}}}$$ , where r is the number of row interchanges made during row reduction from A to U c. If the columns of A are linearly dependent, then det $$\displaystyle{A}={0}.{d}.{\det{{\left({A}+{B}\right)}}}={\det{{A}}}+{\det{{B}}}$$. hrostentsp6 2021-11-20 Answered

2021-11-16

### Jones figures that the total number of thousands of miles that an auto can be driven before it would need to be junked is an exponential random variable with mean 20. Smith has a used car that he claims has been driven only 10,000 miles. If Jones purchases the car, what is the probability that she would get at least 20,000 additional miles out of it? Repeat under the assumption that the lifetime mileage of the car is not exponentially distributed, but rather is (in thousands of miles) uniformly distributed over (0, 40). cleritere39 2021-11-16 Answered

### Write the system first as a vector equation and then as a matrix equation. $$\displaystyle{8}{x}_{{{1}}}-{x}_{{{2}}}={4}$$ $$\displaystyle{5}{x}_{{{1}}}+{4}{x}_{{{2}}}={1}$$ $$\displaystyle{x}_{{{1}}}-{3}{x}_{{{2}}}={2}$$ kolonelyf4 2021-11-16 Answered

### Find all x in $$\displaystyle{\mathbb{{{R}}}}^{{{4}}}$$ that are mapped into the zero vector by the transformation $$\displaystyle{\mathbf{{{X}}}}\mapsto{A}{\mathbf{{{X}}}}$$ for the given matrix A. $A=\begin{bmatrix}1 & 3 & 9 & 2 \\1 & 0 & 3 & -4\\0 & 1 & 2 & 3\\-2 & 3 & 0 & 5 \end{bmatrix}$ sklicatias 2021-11-16 Answered

### Find the coordinate vector of w relative to the basis $$S = \{ u_1, u_2 \}\ for\ \mathbb{R^2}\ u_1 = (1, -1), u_2 = (1, 1) ; w = (1, 0)$$ signokodo7h 2021-11-15 Answered

### Find the area of triangle PQR, P(0,-2,0), Q(4,1,-2), R(5,3,1) actever6a 2021-11-14 Answered

### Identify the surface with the given vector equation. $$\displaystyle{r}{\left({s},{t}\right)}={<}{s},{t},{t}^{{2}}-{s}^{{2}}{>}$$ rabbitz42z8 2021-11-13 Answered

### I'm having trouble with these types of questions. I have the following vector $$\displaystyle{u}={\left({4},{7},-{9}\right)}$$ and it wants me to find 2 vectors that are perpendicular to this one. I know that $$\displaystyle{\left({4},{7},-{9}\right)}\cdot{\left({x},{y},{z}\right)}={0}$$ rastafarral6 2021-11-13 Answered

### Hi i know this is a really really simple question but it has me confused. I want to calculate the cross product of two vectors $$\displaystyle\vec{{{a}}}\times\vec{{{r}}}$$ The vectors are given by $$\displaystyle\vec{{{a}}}={a}\vec{{{z}}},\ \vec{{{r}}}={x}\vec{{{x}}}+{y}\vec{{{y}}}+{z}\vec{{{z}}}$$ The vector $$\displaystyle\vec{{{r}}}$$ is the radius vector in cartesian coordinares. I want to calculate the cross product in cylindrical coordinates, so I need to write $$\displaystyle\vec{{{r}}}$$ in this coordinate system. The cross product in cartesian coordinates is $$\displaystyle\vec{{{a}}}\times\vec{{{r}}}=-{a}{y}\vec{{{x}}}+{a}{x}\vec{{{y}}}$$, however how can we do this in cylindrical coordinates? trainart1 2021-11-13 Answered

### Find the derivative of the vector function. $$\displaystyle{r}{\left({t}\right)}={a}+{t}{b}+{t}^{{2}}{c}$$ sputavanomr 2021-11-13 Answered

### Find the curvature of $$\displaystyle{r}{\left({t}\right)}={<}{9}{t},{t}^{{2}},{t}^{{3}}{>}$$ at the point (9, 1, 1).

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