6. Evaluate (in an effortless manner) the capacities of the channels whose matrices are given below. a. b. - B B P P 널 2 2 - BO 1 P 0 P 물을 무무 2 C. 0 erase 1 www P P 0 17: :,] P 1- B 0

Q: Let A and B be two square matrices of the same size. Suppose B is singular. Explain why AB is also…

A: Given Information: A and B are two square matrices of same size. Suppose B is singular. To show: AB…

Q: 2. The inverse of matrix A = is true false O

A:

Q: 5. The triangle with vertices at (2, 3), (4,6) and (5, 10) is transformed by the matrix T where T=…

A: It is given that the vertices of the triangle are 2, 3, 4, 6 and 5, 10. First we have to sketch the…

Q: 2. Suppose A is a square matrix. Which matrix is not symmetric? O A+AT O AAT ОА-АТ O ATA

A: Note the following results if A and B are two matrices ABT=BTAT…

Q: i Xi Yi 5 25 IM N 3 2 b 3 5 IT a) What is the design matrix, X b) Calculate XTX

A: Given the data as12352525911

Q: Find the inverse of the following matrix. The constant a may be any real number. -5 a (C) [; ] (9)…

A: Given that  The Matrix  To find the inverse of the matrix

Q: The first and the second column of a matrix are (1, 0, 1) and (0, 0, -1). If the matrix has (4, 10,…

A:

Q: A matrix is called skew-symmetric if A^T = −A. If A is a n × n matrix, then show the following: i.…

A: Solution:Given: is any matrixwe have to show that(i). The matrix is symmetric(ii). The matrix is…

Q: 2. Describe the geometry of the linear transformation represented by each matrix. Explain. 3 0 a. ^=…

A: Follow the steps.

Q: If A is a matrix, what will the following commands display? (Explain them) [m,n]-size(A), inv(A),…

A: 1. A(:,j) will display the j-th column of matrix A. The : symbol in the command represents all the…

Q: 3 2 . B = 3 and C =-1 For the Matrices A= 1 4 Find: (AT.B)+ 2 C

A: Given that, We have to find, Then we get, AT=1-32140…

Q: 19.

A:

Q: . With numbers, a∙b=b∙a and we say that multiplication is commutative.  Is matrix  multiplication…

A:

Q: 2. Estimate Y = +&X+ e using matrix method. 15 15 20 30 32 35 40 Y 14 13 16 25 27 34 44

A: Given the data as X 15 15 20 30 32 35 40 Y 14 13 16 25 27 34 44

Q: 9. . Suppose that A = PDP¯' and B = 31 + 2A + A². 5 Let D a Find a diagonal matrix D1 such that B =…

A:

Q: ID Y 12 A1 A1 2 10 10 C2 B1 A2 8 АЗ 8 4 B1 8. A2 B2 ВЗ АЗ B2 7 5 4 ВЗ 6. 4 C1 2 C1 1 C2 4 9 2 4 8.…

A: The distance matrix of the given data is given by:   A1 A2 A3 B1 B2 B3 C1 C2 A1 0 5 8 7 7 7 8 2…

Q: Suppose that A, B, C, D, and E are matrices with the following sizes: A(4x 5); B(4X 5); C(5 X 2):…

A: Size of matrix

Q: 1. Let A = |-2 B=-1 3, and C = -4] 1 2 For each of the following matrix operations undefined,…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Show that if A is a square matrix that satisfies the equation 2 A²-A-I-O, then its inverse is A-¹ =…

A: A square matrix M is said to be invertible if det(M)≠0 . If M is invertible,  then MM-1=I=M-1M ,…

Q: 5. Is the matrix ㅇ 15 아가 Unitary? Explain. 블 ܐ ܥܙܐܡ ܝܐܐ ܙܐ3 춤을

A: A matrix is the arrangement of elements in a row and columns into a rectangular array. The order of…

Q: We have two sets A= [5, 7, 9, 11] and B= [4, 8, 12, 15, 18]. Relations from these sets are [5, 8],…

A:

Q: Use a graphing utility with matrix capabilities to find the following, where u = (1, 2, 1, -3), v =…

A: Given  u = (1,2,1,-3) v = (-2,2,0,-1) w = (-2,3,1,2)

Q: (c) Find the area of the surface which results from rotating R about the x-axis. (Hint: Multiple…

A:

Q: Write y as the sum of a vector

A: Given,   And

Q: (a) Consider the system of equations 11х3 — Зх1 yi %3D - 7x1 – 6x2 – 5x3 y2 х> + 2х3 — 2х = y3…

A:

Q: Consider the sets B = and 6 = Enter the change of coordinates matrix P into Btoc. Enter the change…

A: