Solve the system of linear equations using matrices.

ddaeeric
2021-01-25
Answered

Solve the system of linear equations using matrices.

You can still ask an expert for help

Khribechy

Answered 2021-01-26
Author has **100** answers

STEP 1

System of linear equation

Augmented matrix is

Reduring the matrix to reduced

Row echelon form by

Row operations

Step2

Thus solution of system is

Jeffrey Jordon

Answered 2022-01-27
Author has **2313** answers

Answer is given below (on video)

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 2021-01-04

If A is diagonalizable and for all eigenvalues , $\lambda \text{of}A,|\lambda |=1$ , then A is unitary.
True or False?

asked 2022-04-19

The function f is defined, for $x\ge 0$ , by $f\left(x\right)=4-3\mathrm{cos}\left(\frac{x}{2}\right)$

Given that$f(na+b)=2.5$ where a is positive constant and n=0,1,2,..., find the smallest possible value of b and least value of a.

Given that

asked 2021-09-08

Solve the equation:

$(2x-5)+(3{x}^{2}+7x+10)$

asked 2022-07-03

Finding $\mathrm{cot}(\frac{\pi}{12})$

Given:

$\mathrm{cot}(\theta -\varphi )=\frac{\mathrm{cot}\theta \mathrm{cot}\varphi +1}{\mathrm{cot}\theta -\mathrm{cot}\varphi}$

And:

$\mathrm{cot}\frac{\pi}{3}=\frac{1}{\sqrt{3}};\mathrm{cot}\frac{\pi}{4}=1$

$\frac{\frac{1}{\sqrt{3}}(1)+1}{\frac{1}{\sqrt{3}}-1}$

$\frac{1+\sqrt{3}}{1-\sqrt{3}}$

Given:

$\mathrm{cot}(\theta -\varphi )=\frac{\mathrm{cot}\theta \mathrm{cot}\varphi +1}{\mathrm{cot}\theta -\mathrm{cot}\varphi}$

And:

$\mathrm{cot}\frac{\pi}{3}=\frac{1}{\sqrt{3}};\mathrm{cot}\frac{\pi}{4}=1$

$\frac{\frac{1}{\sqrt{3}}(1)+1}{\frac{1}{\sqrt{3}}-1}$

$\frac{1+\sqrt{3}}{1-\sqrt{3}}$

asked 2022-02-02

How do you find the power $[3{(\mathrm{cos}\left(\frac{\pi}{6}\right)+i\mathrm{sin}\left(\frac{\pi}{6}\right)]}^{3}$ and express the result in rectangular form?