Find the classical adjoint of the following matrices. -4 0 0 (b) (a) (A11 A12 A21 A22) (d) /3 6 7 (c) 0 4 8 3i 1 + 4i 2i 2 + i (e) (f) 3 -1 + i 2i/ 3 - -3 5 4 0 0 (h) (g) 8 0 -3 1 4 6 3. 2) 6.

Q: [5] Find three different 2 by 2 matrices that have A₁ = A₂ = 0.

A: Three different 2×2 matrices that have λ1=λ2=0 i.e, both eigen values are 0 are 0100,0020 and -4-284

Q: I. Multiply Matrices A and B then validate if the product matrix is matrix C -20 0 4 a.) -7 -3 -2 -1…

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Q: Let A, B and C be n x n matrices. Then (2AT + BC)T 2A-CTBT O is equal to the above 2A + CTBT is…

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Q: Let A and B be 3 × 3 matrices such that det (B) = -2 and 27 = det (-3AB A" B ²). 2 Find det(A).…

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Q: Let A, B, C and D be square invertible matrices, such that AB = CD. Find an expression for B-¹?…

A: Use the properties of invertible matrices and their product to solve this problem as in next step.

Q: 1 2 -4 -8 (b) -2 -4, 8 16 This set is

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Q: You are given the following matrices: P = (-3 9/-3 -7), Q = (-2 1/3 3) Find out the value of a of…

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Q: 3. Tell whether the statement is true or false. If true, provide a proof. If false, provide a…

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Q: Find the following matrix product. Be careful to distinguish 2 x 2 matrices in the answers from 2 x…

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Q: Find the inverse of cach matrix if possible. If a matrix is not invertible, explain why. 3 0 1 2 2…

A: Matrix A is invertible if and only if  following conditions hold: 1. A must be n×n square matrix…

Q: If possible, compute the following. If an answer does not exist, enter DNE. (A+B) + C = + A+ (B+ C)…

A: We have to solve the addition form of Matrix.

Q: Consider A = 112 0 1 2 (a) Find A-¹ by using row operations on [A1]. List the one you use in order.…

A: Given That : Matrix A=123112012 To Find : 1) A-1 using row operation 2) A-1 using row operation 3)…

Q: Use the inverse matrices to find (AB)', (A')-², and (24)-', -[3}} -2 5 (a) (AB)-1 188 (b) (AT)-1 BS…

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Q: -4)· (- 1 2 -4 1 -3 2 1 17 -31 (d) -2 -4 16 16 9 10 -8 e? This set is

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Q: 1 (4) s What can be said about the 2 matrices based on your result (d)? -0.5 -1.5

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Q: adioint of the matrix.

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Q: If A is a 3 x3 matrix and det(A) =-3, what is det(4A)?

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Q: [2 2 Give two different matrices B so that in each case B 2 2

A: Given matrix

Q: If A and B are 2 × 2 matrices, det (A) = 1, det(B) = 4, then det (AB) = 4 det (-2A): det (A¹) = 1…

A: If A and B are 2*2 matrices, det(A) = 1, det(B)= 4, then  Find det(-2A).

Q: 1 6. Given that A = -1 and B = Which of these matrices equal (AB)'? -2 0 (c) 0. (a) 0. (b) (d) -2 -2…

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Q: Diagonalize the matrix A || -1 −1 1 4 16 by writing it as A = PDP-¹

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Q: Some entries of a 3x3 matrix A and its are given as follows; 2 3 -4 A = and adj(A) = a 3.

A: Introduction: The numbers or functions are referred to as the matrix's elements or entries. A matrix…

Q: [1-2 Q:Evaluate A-3A+91 where A = 2 3 3 -1 and lisa unit matrix. -3 1 2 3.

A: Given: A=1-2323-1-312 To evaluate A2-3A+9I. I is a unit matrix.

Q: Find an LU -9 -9 0 2 -45 -63 72 62 L U = factorization for -8 -8 8 8 -104 -111 56 36

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Q: please answer all thanks!

A: Given matrices are:A=⎝⎛​3−11​021​⎠⎞​, B=(40​−12​), C=(13​41​25​), D=⎝⎛​1−13​502​214​⎠⎞​. (a) 2B -…

Q: 2 3 10 2 A = 5 4 9 2 3 1 3 multiplying the matrices, explain why A is not invertib

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Q: How to make this matrix diagonally dominant?

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