Show that T is a linear transformation by finding a matrix that implements the mapping. Note that x,, X2, ... are not vectors but are entries in vectors. T(*1 X2 X3) = (X1-2x2 +5x3. X2 - 9x3) A=(Type an integer or decimal for each matrix element.)

Q: Find an LU factorization for the matrix A = -2 3 4 1 -3 0 2 3-2, Verify that LU = A.

A:

Q: Can you provide one image or figure of the hermitian matrix?

A:

Q: calculate the matrix cofactor using sign convetion  + - + - - + - + + - + - - + - +

A:

Q: Describe matrix multiplication of two matrices A and B in terms of linear functionals (the linear…

A: Solution:-

Q: Find a base for the line space of the matrix and determine the line rank.

A:

Q: Identify the matrix that represents each linear transformation below. Write A, B, C, D, D or F. ^ -…

A:

Q: Show that the inverse of an invertible lower triangular matrix is lower triangular

A: Given : The matrix A is an invertible lower triangular matrix Then we have to show that A-1 is…

Q: Construct six linearly independent 3 by 3 echelon matrices U1, ... , U6.

A: To Find : Construct six linearly independent 3×3  echelon matrices.

Q: 3 4 Let X and Y in the set of 2 × 2 matrices, M22. %3D -11 2 3 Determine whether A = or B are in…

A: Given  X=2-121, Y=34-11 and A=0-1181, B=2312

Q: Explain  column vector of m x 1 matrix?

A:

Q: let Q(x)= x12 -8x1x2 -5x22 , then matrix A of the quadratic from is A=?

A: Explanation is given below..

Q: Find an orthogonal diagonalization for A = 1 0 1 0 1 -1 (1888) -1 1 i.e. find an orthogonal matrix U…

A:

Q: Suppose A is a 2 × 4 matrix, and B is a 4 × 2 matrix. Assuming that A, B act on vectors in R",…

A:

Q: Exercise 51. Is there a square matrix X with real entries such that det(X¹X) = -3?

A: detXTX=-3 X is a square matrix with real entries.

Q: Explain why v = ( 1, 0, -1) cannot be a row of A and also in the nullspace.

A:

Q: Find the general form of the span of the indicated matrices. (Use only x and w as variables in your…

A:

Q: Show that every diagonalizable matrix has a square root.

A: Square Root Matrix of a Diagonalizable Matrix is Diagonalizable. A is diagonalizable. Therefore,…