4. Let A be a symmetric matrix. Show that (A' + A) is symmetric.

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

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Q: What are Sub-matrices?

A: A matrix is an arrangement of a real or complex number in rows and columns to form a rectangular…

Q: I want to know about change of basis matrix and what does it mean by diagonalization of a matrix.

A: Change of Basis:

Q: elementary

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Q: define: zero matrix

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Q: Derive a composite matrix that transforms a square ABCD with coordinates A(0,0), B(1,0), C(1,1),…

A: As per the question we have to find the affine transform which will transform the points A,B,C,D…

Q: Find f(B)

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: Create a world transform matrix that translates by 3, 5, 7 and rotates 80° about the x-axis.

A: Detailed explanation mentioned below

Q: Put as many 1's as possible in a 4 by 8 reduced echelon matrix R so that the free columns are(a) 2,…

A: In a reduced echelon form of a matrix, if there is a pivot element in a row then, the elements above…

Q: 9. Show that the matrix 0 0 -1 0 0 1 -1 C2 = x, x- will transform the vector y into -y

A: We have to show that the matrix C2 will transform the vector in ℝ3 into the vector -x-yz. First we…

Q: Explain  column vector of m x 1 matrix?

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Q: Prove that (A + B)² = -(A + B) in matrix..

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Q: Show that the inverse of a nonsingular lower triangular matrix is lower triangular.

A: We have to prove that inverse of a nonsingular lower triangular matrix is lower triangular.

Q: Let I be the rdentity of nxn. Please Compute 3. matrix the matrix funct ions CosT I (i²=-1)

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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: A diagonal matrix is a square matrix that if rotated to give the original matrix 1- right 2-Error

A: a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero; the term…

Q: Describe all skew symmetric scalar matrices.

A: Skew-symmetric: A matrix can be skew symmetric only if it is square. If the transpose of a matrix is…

Q: Show that the matrix below does not have an LU-factorization.

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Q: -9 – A 2 Find the greatest value of A that make the matrix A singular. – 6 -2 - A =

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Q: If xER" is a column vector (i.e. an n ×1 matrix), then In-2xx' is always a symmetric matrix. True…

A: Consider the given column matrix as x=x1x2⋮⋮xn-1xn, x∈Rn. Compute the transpose of the matrix x as…

Q: Determine the matrix A x 1, if A=(13) and 1=(9)=

A: Given A=-1043,     I=1001   To determine: the matrix A×I

Q: Consider the elementary matrix 1 0 -- a 2 1 Describe the action of this matrix from the left in…

A: Here →A=(1,2),→B=(0,1) The vectors A, B are linearly dependent if their determinant is zero. i.e.…

Q: Let A and B be two n x n matrices. Call A and B simultaneously diagonalizable, if there is a single…

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Q: Define Hilbert matrix.

A: