Let B and C be the following ordered bases of

CoormaBak9
2020-10-25
Answered

Let B and C be the following ordered bases of

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likvau

Answered 2020-10-26
Author has **75** answers

asked 2021-05-25

The reduced row echelon form of the augmented matrix of a system of linear equations is given. Determine whether this system of linear equations is consistent and, if so, find its general solution.

asked 2022-01-04

Let V, W, and Z be vector spaces, and let $T:V\to W$ and $U:W\to Z$ be linear.

If UT is one-to-one, prove that T is one-to-one. must U also be one-to-one?

If UT is one-to-one, prove that T is one-to-one. must U also be one-to-one?

asked 2021-09-21

Find an orthogonal basis for the column space of each matrix.

asked 2021-09-27

Consider a consistent system of three linear equations in three variables. Discuss the nature of the system and its solution set if the reduced form of the augmented coefficient matrix has

A) One leftmost 1

B) Two leftmost 1s

A) One leftmost 1

B) Two leftmost 1s

asked 2021-09-20

Vector Cross Product

Let vectors A=(1,0,-3), B =(-2,5,1), and C =(3,1,1). Calculate the following, expressing your answers as ordered triples (three comma-separated numbers).

(C)$\left(2\stackrel{\u2015}{B}\right)\left(3\stackrel{\u2015}{C}\right)$

(D)$\left(\stackrel{\u2015}{B}\right)\left(\stackrel{\u2015}{C}\right)$

(E)$over\to A(over\to B\times over\to C)$

(F)If$\stackrel{\u2015}{v}}_{1}\text{}\text{and}\text{}{\stackrel{\u2015}{v}}_{2$ are perpendicular, $|{\stackrel{\u2015}{v}}_{1}\times {\stackrel{\u2015}{v}}_{2}|$

(G) If$\stackrel{\u2015}{v}}_{1}\text{}\text{and}\text{}{\stackrel{\u2015}{v}}_{2$ are parallel, $|{\stackrel{\u2015}{v}}_{1}\times {\stackrel{\u2015}{v}}_{2}|$

Let vectors A=(1,0,-3), B =(-2,5,1), and C =(3,1,1). Calculate the following, expressing your answers as ordered triples (three comma-separated numbers).

(C)

(D)

(E)

(F)If

(G) If

asked 2022-02-01

Consider the rectangle formed by the points (2,7),(2,6),(4,7) and (4,6). Is it still a rectangle after transformation by?

$A=(\begin{array}{cc}3& 1\\ 2& \frac{1}{2}\end{array})$

By what factor has its area changed ?

By what factor has its area changed ?

asked 2022-06-22

Consider the transformation $T:{P}_{2}\to {P}_{2}$, where ${P}_{2}$ is the space of second-degree polynomials matrices, given by $T(f)=f(-1)+f\prime (-1)(t+1)$. Find the matrix for this transformation relative to the standard basis $\mathfrak{A}=\{1,t,{t}^{2}\}$. Can someone explain to me how to find the matrix of the transformation