# matrices

1. ### What is the geometric mean (representation) of orthogonal matrices?

Could you explain the geometric mean (representation) of orthogonal matrices? The same question is for different types of matrices and also tensors.
2. ### Using variables in matrices TI-82

Hello everyone, Does anyone know how to put in variables in matrices using calculator Texas TI-82. I am trying to solve Ax=b for some unknown X variables. When I put the unknown variables as X1,X2 etc. they will immediately become zero. Regards
3. ### stochastic matrices

prove that if you multiply two column-stochastic matrices together, you will get a column-stochastic matrix? Need help. Thanks
4. ### Calculating the dim of intersection of two matrices

Your kind help is much appreciated for the attached questions, thanks, since I could not find any formal description for the intersection or union of two matrices. Mutlu
5. ### Linear system

Question: Using the fact that \textbf{Ax=b} is consistent if and only if \textbf{b} is a linear combination of the columns of \textbf{A} to find a solution to \left( \begin{array}{cccc} 1 & 2 & 3 & 4 \\ 2 & 3 & 4 & 1 \\ 3 & 4 & 1 & 2 \end{array} \right)\left( \begin{array}{c} x\\ y\\...
6. ### 4x4 elimination matrices

In this 4x4 elimination matrices E21, E32 and E43 how E43 became 3/4 What I know from 3x3 matrices: E21 is -a12/a11 and E31 is -a31/a11 and E32 is -a32/a12 or the elimination multiplier applied to identity matrix I have no experience on 4x4 and I could not get E32 and E43 :(
7. ### Cryptography

Hello, there was a matrix problem I was unable to work out completely: 'Your task is to crack the following code and find the encrypted word. To make your task easier, the following information about the encoding matrix is given: Position 1,1 in the encoding matrix is an even number...
8. ### Determinants and Inverses of Square Matrices

Solve |x^2 3X|* |1 x|= |2 0| |1 2 | |3 -x| |0 1| -8x^3 +12x^2 =2 8x^3 - 12x^2 = -2 4x^3 - 6x^2 = -1 2x (2x^2 - 3x) = -1 x = -1/2 OR -1 OR 2 This is how I calculated this question, but the model answers are 1/2 OR...
9. ### intersecting two matrices problem

U = span ( [ 1, 2, 3, 4, 3, 2, 1 ], [ 4, 0, 2, 0, -2, 0, -4 ], [ 3, 1, 2, 0, 1, -1, 0 ] ) V = span( [ 2, 1, 3, 4, 0, 3, -3 ], [ 4, 3, 5, 4, 4, 1, 1 ], [ 1, 1, 1, 1, 1, 1, 2 ] ) 1. Find the basis of U âˆ© V My Answer: dim(U) + dim(V) =...
10. ### Matrices which satisfy the equation

Show that there are no real 3x3 matrices which satisfy the equation (picture below), but there are complex 3x3 matrices and real 2x2 matrices which satisfy that. I know that this equation has no real roots, but I don't know how to apply that to matrices.
11. ### Hermitian matrices and additive group

I need to prove that the set of all hermitian matrices Mh with operation "+" forms an additive group. I know that the set of all matrices M with additive operation forms an additive group(I proved that). My question is, if I prove that set of hermitian matrices with additive operation Mh is a...
12. ### Finding transformation matrix for similar matrices

I scouted through online but I am unable to find any comprehensive explanation of finding the transformation matrix T A and B are n x n matrices. A and B are 'similar' matrices. Here is the definition of similar matrices B = T^{-1} A T Find T.
13. ### Prove matrices question

Prove that there is no matrix: $b\in m_{2}\mathbb{(c)}$ such that $b^{2}=$$\left[ {\begin{array}{cc} 0 & 1 \\ 0 & 0 \\ \end{array} } \right]$ any help appreciated, I've created a generic matrices b with coefficients a b c d and have 4 equations but don't know where to go from here.
14. ### Prove the identity

Prove the identity Au.v = u.A^T v Note that "." in the equation means dot product. I know that I should write the dot products as products of matrices but I don't know how to do it. Thanks in advance :)
15. ### "The Theory of Matrices"

Please! I was looking for "the theory of matrices" by gantmacher, Volume 1 and/or 2 May anyone help?
16. ### Matrices problems

Hello. I got the following problems to solve and I don't know how. I request assistance please.
17. ### Matrices Maths Help

This is for help in matrices guys
18. ### [Determinants] A -> 2x2. Find all the real values r, x, y.

A \varepsilon \mu (2x2) , A= \begin{Bmatrix} -2 & 4\\ 4 & -3\end{Bmatrix} Find all the real values r, x, y for: 1. |A-rI|=0 2. (A-rI)\binom{x}{y}=0 How do I proceed?
19. ### Exercises of matrices algebra.

Hey guys, I need help. I have a homework and there are 3 exercises that I just can't do and I don't know how to proceed. 1. Let A and B. A= \begin{bmatrix} a && b \\ c && d \end{bmatrix} B= \begin{bmatrix} x && y \\ y && z \end{bmatrix} Find if it is possible, giving conditions in each case...
20. ### Simple Matrix(Matrices)

Hey, Never looked at Matrices before, but am preparing for the SATs. Can someone help me with this question with a full explanation if possible? Question attached. Really appreciate it. :)