Compute AB, det(A), det(B), det(AB), and det(A + B) for the following matrices. -2 0 2 -1 1-1 1 4 2 A = AB = det(A) = -3 det (B) -20 det(AB) det(A + B) = -41 = 60 1 -1 0 0 32 2 1 1 -1 1 -4 and B = >xxx -1 11 5 3 1 5

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: For the given matrices A and B find each of the following. (a) A+ B, (b) B+ A, (c) A-B 4. 4 - 1 10 7…

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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 c…

A: To find out the value of c.

Q: 2 4 If A 1 4 - [3³] and B = [2 56 [4 2 24 find matrix such that 2A + B + 4X=0

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Q: Determine the matrices C = A + B and D = A - B if A = = 3 8 8 -7 -4 -1 -4 5 B = 9 -27 6 3 2-3 -4 5…

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Q: 561 2 -3 5 8 |B= 4 467 93 0 3 -5 -1 3

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Q: Suppose A and B are both 3 × 2 matrices. Which algebraic operations and procedures apply to these…

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

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Q: 1 2 A= -2 4 -2 4 3 5 -1 5 4 3 3 7 6 6

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Q: -4 -2 (1 point) If A = 1 2 - 3 and B -2 1 4 then -4 1 4 -3 -4 4 AB = and ВА — Choose v True or…

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Q: Given the matrices below, find B- 2A [2 A= 4 -5 -5 -4 - c-[;} »-G } -[] Choices: -5 -7 6 -3 5 [13 -5…

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Q: Consider the following matrices: -(; ) -) -() 0. 1. -1 3 A В 1 -3 C = |3 4 2 1 2 2 -1 Perform each…

A: a A+B is not define because size of matrix A and B is not same  A is 2*2 and B is 3*2 matrix so...…

Q: Let 1 1 -2 1 2 3 | A = 1 4 and B = -6 -2 -3 - -3 2 1 -1 -1 | Find the inverse of the matrix A + B –…

A: Let's find.

Q: If A and B are 2 x 2 matrices, det(A) = -2, det (B) = 7, then det (AB) = det (2A) = det (AT B³) = ₁…

A: We use determinnant properties (i) det(AB)=(det(A))(det(B)(ii) det(KA)= , Here k is constant and n…

Q: Given the matrices: 2-1 0 A - (²29). B- (1¹³). (7³), 0- -1 3 Compute each of the following, if they…

A: We are given the matrices A,B and C.

Q: Given two matrices A and B, how can you determine the order of AB, assuming that the product is…

A: Let order of A is mxnAnd let order of B is nxp (because product of AB is defined)

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: Find the inverse of the following matrix: 1 -1 0 -4 2 -1 4 3 3

A: We have to find the inverse of

Q: For n × n matrices A and B , when does (A + B )(A − B ) = A 2 − B 2?

A: Commutative rule: The product of two matrix does not follow commutative rule: AB≠BA Given:…

Q: Multiply the following matrices (show all the steps): A = [ 5 - 1].        B  [ 0 7 -5]        […

A: NOTE: Refresh your page if you can't see any equations. . given matrices are

Q: Compute AB, det(A), det(B), det(AB), and det(A + B) for the following matrices. A = AB = det(A) det…

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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: Solve the equation Ax=b for the following matrices using LU factorization: 4 L- ーム 3. A= b=-2 -6 ー1…

A: Let A = LU where L = 1000l21100l31l3210l41l42l431U = u11u12u13u140u22u23u2400u33u34000u44 A =…

Q: [-3 10] 14 B = 10 [5 -2 17 -1] C = A =-5 2 D=[-11 8 -5] -8 3 -4 2 14 -6 -8

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