matrices

Could you explain the geometric mean (representation) of orthogonal matrices? The same question is for different types of matrices and also tensors.

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

prove that if you multiply two column-stochastic matrices together, you will get a column-stochastic matrix? Need help. Thanks

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

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\\...

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 :(

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...

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...

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 ∩ V My Answer: dim(U) + dim(V) =...

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.

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...

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.

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.

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 :)

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

Hello. I got the following problems to solve and I don't know how. I request assistance please.

This is for help in matrices guys

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?

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...

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. :)