Let $A=\left[\begin{array}{ccc}4& 0& 5\\ -1& 3& 2\end{array}\right]$

$B=\left[\begin{array}{ccc}1& 1& 1\\ 3& 5& 7\end{array}\right]$

$C=\left[\begin{array}{ccc}2& & -3\\ 0& & 1\end{array}\right]$

Find$3A\u2013B;C\cdot B+A.$

Find

shadsiei
2021-10-15
Answered

Let $A=\left[\begin{array}{ccc}4& 0& 5\\ -1& 3& 2\end{array}\right]$

$B=\left[\begin{array}{ccc}1& 1& 1\\ 3& 5& 7\end{array}\right]$

$C=\left[\begin{array}{ccc}2& & -3\\ 0& & 1\end{array}\right]$

Find$3A\u2013B;C\cdot B+A.$

Find

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Bentley Leach

Answered 2021-10-16
Author has **109** answers

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asked 2021-02-08

Let B be a 4x4 matrix to which we apply the following operations:

1. double column 1,

2. halve row 3,

3. add row 3 to row 1,

4. interchange columns 1 and 4,

5. subtract row 2 from each of the other rows,

6. replace column 4 by column 3,

7. delete column 1 (column dimension is reduced by 1).

(a) Write the result as a product of eight matrices.

(b) Write it again as a product of ABC (same B) of three matrices.

1. double column 1,

2. halve row 3,

3. add row 3 to row 1,

4. interchange columns 1 and 4,

5. subtract row 2 from each of the other rows,

6. replace column 4 by column 3,

7. delete column 1 (column dimension is reduced by 1).

(a) Write the result as a product of eight matrices.

(b) Write it again as a product of ABC (same B) of three matrices.

asked 2021-01-31

Find a basis for the space of $2\times 2$ diagonal matrices.

$\text{Basis}=\{\left[\begin{array}{cc}& \\ & \end{array}\right],\left[\begin{array}{cc}& \\ & \end{array}\right]\}$

asked 2022-07-09

Evaluate ${\int}_{\mathbb{R}}\frac{{\mathrm{sin}}^{4}(x)}{{x}^{2}}dx$

asked 2022-03-03

A closed curve in the $(x,y)$ -plane is represented by the functions

$x\left(\theta \right)=\frac{1}{2}(\mathrm{cos}\theta +\sqrt{2}\left(\mathrm{sin}\theta \right))$

$y\left(\theta \right)=\frac{1}{2}(-\mathrm{cos}\theta +\sqrt{2}\left(\mathrm{sin}\theta \right))$

asked 2021-02-25

Find and simplify in expression for the idicated composite functions. State the domain using interval notation.

$f\left(x\right)=3x-1$

$g\left(x\right)=\frac{1}{x+3}$

Find$(g\circ f)\left(x\right)$

Find

asked 2022-01-28

Im

asked 2022-08-07

How do I find a constant B>0, so that $\Vert x\Vert $ $\le $ $B\ast {\Vert x\Vert}_{\mathrm{\infty}}$ works for all $x\in {\mathbb{R}}^{n}$?

Not sure but I think I have to look at $x$ = $\sum _{i=1}^{n}{x}_{i}{e}_{i}$ with the development of the x to the canonical unit vectors ${e}_{i}$. But how do I do that?

Not sure but I think I have to look at $x$ = $\sum _{i=1}^{n}{x}_{i}{e}_{i}$ with the development of the x to the canonical unit vectors ${e}_{i}$. But how do I do that?