i 1 i 2i Given two matrices: C = 0 and D = -i 2 -i -1 0. -2i i a. Show that: det (C*) = (det C)* = det (C') b. Show that: (CD)* = C*D* c. Show that: (CD)* = D'C*

Q: a) For invertible matrices A, BER"Xn, show that ((AB)")- = (A-)"(B)".

A:

Q: ^T) + (B^T) and (AB)^T = (A^T)(B^T) if the orders of matrices are appropriate. * False

A:

Q: Find 2 × 2 matrices A and B such that т 6 ]A+[, -1 JA+I 5 -5 ]B = [ 4 -6. ] and -2 -1 4 0 -2 -4 3 -4…

A: Given: The equations  06-1-1A+5-534B=4-60-2T0-211A+-4-8-3-6B=3-47-3T

Q: Ouestoon = Find the inverse of the matrix with A'= Adj A A= -2

A: The objective is to find inverse of the given matrix using the given formula Given:

Q: 8. (3pts) Let A and B be arbitrary n x n matrices. Multiply (A – B)(A+ B).

A: As we know that (A-B)(A+B) = AA+AB-BA-BB=A2+AB-BA-B2here AB need not to be equal to the BA. Because…

Q: Fincd the inverse matrix by cofector u A= 3 2

A: Given query is to find the inverse matrix.

Q: Let A and B be the following matrices. Perform the following operations: A. B = B. A = -37 67 28 -26…

A:

Q: Homework : Find the inverse of the matrix and verify that A-'A = A A-1 = 1,

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Q: Show that ∣A∣ = ∣AT∣ for the matrix below.

A: Now the transpose is,

Q: Find the inverse of the matrix 1 2 3 A-1) if A =| 2 3 1 3 1 2

A: Given,                  A=123231312

Q: Let A be a 2 x 2 matrix a If ad – bc + 0, then A-1 ad-be ad-be ad-e ad-be. such that [1 AA-1 = A-'A…

A:

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: How would I write the following 2 functions in matrix notation? Q(h) = (h, 2h, 3h) F(x, y, z) =…

A: We have to write the function as matrix notation. The given function is Q(h) = (h, 2h, 3h) Clearly,…

Q: please continue matrices and find for x, y, and z cramers rule

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Q: In Exercises 19-20, find the inverse of each of the following 4×4 matrices, where k₁, k₁, k3, k₁,…

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Q: Give a matrix A and vector b so that Ax = b has no solution, but Ax = b has many least squares…

A: For first part consider an example which is following :Here  has no solution, but  has many least…

Q: y "- 3y + 2y =0 0 1 O b. ***-(2,₂3). x-(2-1) --(-) 0 1 X' 3 2 21 +-(-3) X'= 0 a. O c. O d. x x

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Q: Hi I was looking for this to be expressed as a symmetric matrix

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Q: Formula valid for matrices? explain why? (A + B)(A - B) = A²B²

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Q: The coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). Represent mathematically…

A: Given that the coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). So the…

Q: Let A be a 4x4 matrix and det(A)=2. Find det(2A-)'

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Q: Solve for (A + B^T)*(A^T-B)*C and compute for the matrix inverse of B and AB.

A: Follow the procedure given below.