Find the RREF of [A| I], then determine whether A is invertible and, if so, find A-1. 2 -2 1 2 3 (i) A = 1 -1 -1 -2 4 5 6 (ii) A = 2 1 7 8 9 1 3 1

Q: Find the value of z in the following system of lincar equations by using Cramer's rule: x- 2y + 2z =…

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Q: 10 Find the determinants of A, B, C: 0 3 7 1 7 1 6 0 0 0 0 1 0 4 0 3 8 1 0 0 0 0 0 3 0 0 0 0 0 2 0 0…

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Q: Let -1 1 A = -1 1 1 1 What is the cofactor C22? 1 -1 -2

A: We have to find cofactor

Q: (A + B) E M mx n A+B=B+ A A+ (B+C) = (A + B) + C A+O=A

A: As per guidelines we can solve first 3 subparts. Please repost the other parts

Q: If a polynomial p(x) can be factored as a product of two lower degree polynomials p₁(x) and p₂(x) as…

A: It is given that, if a polynomial p(x) can be factored as a product of two lower degree polynomials…

Q: (a) Determine whether A is invertible. If so, find A-1. [ 2 3 10 -4 (i) A (ii) A = 4 1 -5 2

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Q: a.) -x-3y -z = 6 2x - 5y2z = 14 (x + y = -1 2x - 3y = 5 b.) {-4x + 7y=-11

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Q: The matrix is not invertible for what value of x 2 1 1 1 31

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Q: Let a = (4,0, -2) and b = (2, –2, 3). Compute: a + b = ( a – b = ( 2a = ( За + 4b %3 ( |a| =

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Q: Is this statement true? If Ax = b has a solution for b, then A must be invertible.

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Q: (b) 1 = -4 - 4- 2.

A: Given that

Q: * For the matrix shown, Find the determinate 21 1 A = -5 6. 13 352

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Q: 2 -2 If B = then B is not invertible. -3 3

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Q: Find bases for the range and nullity of 1 -14 6. 4 - 4 10 8 -1 14 Matrix Algebra

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Q: 3-18. Show that the matrix 2 1 1 1 3 2 13 is a root of the polynomial p(x) = x& – 5x² – 5; that is,…

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Q: the following statements is valid for any scalars α and β and for any matricesA, B, and C for which…

A: Given: Scalars and  , the matrices and  .Objective: To determine the validity of the statement…

Q: Consider the matrices: 7 A = B = С — -6 6. D = [6 8 3], E = | 5 3 6. -6 3 F =| 3 9 G = 3 -3 5 3 7 5

A: In this question given that any type of metrix and help of these metrix we find the value of any…

Q: Given the following matrix, 1 3 -3 B = -3 7 -3 -6 6 The characteristic polynomial is? O 13 – 6X2 +9A…

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Q: (1 1 1 2 3 1 Let A = If B = (b, b2 b3) is the inverse of A 1 2 2 then which of the following is b2 ?…

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Q: 2. Prove that if 5BA+ ACA – I = A, then A must be invertible.

A: We have a solve the problem

Q: (a) Let 2 -27 -1 14 -9 4 3 -2 1 Decide whether A is invertible, and find its inverse if so. A =

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Q: [4 Let D be the third row of the inverse of 2 [1 entries of D? 2 2 0 3] 2. What is the sum of the 1]

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Q: For which real numbers x is the matrix [1x1 A = |01 x _10 1 invertible? For any such number x,…

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Q: Find the determinate by expanding about the 1st row. 1 3-1 223 1-1 0

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Q: Use Cramer's Rule to solve for x2. xi + 2x2 +x3 = 2 3x1 – x2 - 2x3 = 7 X2 +x3 = -1

A: Here we have given one matrix and we have to find the value of x2 by using the Cremer’s rule.   Now…

Q: (c) If A and B are invertible, express [(AB)-¹]ª with A−¹ and B-¹.

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