Describe how to multiply matrices.

djeljenike
2021-02-13
Answered

Describe how to multiply matrices.

You can still ask an expert for help

lamanocornudaW

Answered 2021-02-14
Author has **85** answers

Step 1

Lets

Lets

Jeffrey Jordon

Answered 2022-01-24
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 2022-06-04

The question is to find $x\in (0,\frac{\pi}{2})$

$\frac{\sqrt{3}-1}{\mathrm{sin}x}+\frac{\sqrt{3}+1}{\mathrm{cos}x}=4\sqrt{2}$

$\frac{\sqrt{3}-1}{\mathrm{sin}x}+\frac{\sqrt{3}+1}{\mathrm{cos}x}=4\sqrt{2}$

asked 2022-01-29

Solving ${\mathrm{sin}}^{2}x+1=2x$

asked 2021-01-02

Suppose that A and B are diagonalizable matrices. Prove or disprove
that A is similar to B if and only if A and B are unitarily equivalent.

asked 2022-07-19

What is a mathematical explanation of the connection between: (1) projecting vector a onto vector b and multiplying the projected length of a with the length of vector b, and (2) the sum of the products of the equivalent components of the two vectors?

I realise there is a duality between a 2-dimensional vector and a 1x2 matrix, which can be used to explain the computation of the dot product. But I have not seen a satisfactory mathematical derivation, and was wondering whether there is another, simpler mathematical explanation.

I realise there is a duality between a 2-dimensional vector and a 1x2 matrix, which can be used to explain the computation of the dot product. But I have not seen a satisfactory mathematical derivation, and was wondering whether there is another, simpler mathematical explanation.

asked 2020-11-10

A,B,C are $3\times 3$ matrices with det(A)=-3 , det(D)=-2, det(C)=6.What is $det({A}^{2}B{C}^{-1})$ ?

-3

-18

18

-108

36

-3

-18

18

-108

36