1 2 3 Let A = 3 5 .What is the value of z if A is not- 1 invertible? 2.

Q: ) True or False: If A and B are cousins and v is an eigenvector of A, then v is an eigenvector of B.

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS AND PLS SHOW ALL WORK

A: Solution is given below and please check calculation.  if you have any doubts please ask me. Thank…

Q: 3. 6. 7 # 4. Let A 2 3 What is det(A), the determinant of A? 4 (A)0 (B) – 5 (C) 5 (D) – 24 (E) 24

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Q: -3 -1 -2 Use the Gauss-Jordan method to find the inverse of A = 7 or 3 2 -4. show that A is not…

A: We will use Gauess-Jorden  method to find the inverse of matrix. In this method we put the the given…

Q: 3. The equation 2r +r² – 1= 0 has a unique solution (in R). 4. A square matrix A is invertible if…

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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: -2 12 Let A = -1 5 Find a diagonal matrix D and an invertible matrix invertible P such that A = P…

A: In this probelm we have to solve this question by daigonalisation of matrix .

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

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Q: - [B%]. 7. Suppose that B, C and D are n x n matrices and C, D are invertible. Let A= Find a formula…

A: For a 2×2 matrix, the inverse is calculated using the formula: pqrs-1=1detpqrss-q-rp.

Q: Evaluate the minor and cofactor using the matrix A. 90 1 8 A = -2 2 3 00 7 minor M13 = cofactor A13…

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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: 3. Given matrix A below, answer if A is invertible or not. Provide your proof and calculate the…

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Q: 1. b) Find the Inverse of the matrix 1 2. 1 using Gauss-Jordan method. 1 1. 2]

A: Augment the given matrix with identity matrix. Apply row operations to convert given matrix into…

Q: 4. Find the determinate of [A]. 3 2 [4]= -3 -10 -3 -10 10

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Q: I. Solve the determinant using the Co-factor expansion. (5 pts each) 3. D = -3 3 21 1 4 4. E = 1 I-5…

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Q: 1. Let A = and B = For what values of t is 2A+B invertible? 2. Let n be a natural number and let A,…

A: 1.)      A=2-131 ,   B= 012t2A+ B = 22-131+ 012tFor 2A+B to be invertible determinant of ( 2A+ B)…

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: 6. Find the value of x, y and z using Cramer's Rule and Gauss-Jordan Method. X+y+z 12 2x + 5y-3z 6…

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Q: 1. Consider M = 1 23 234 47 a Compute |M| according to the definition of determinant.

A: The given matrix is

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 ?…

A: Answer

Q: 1 2 0 Determine if the matrix A: -1 1 3 is invertible or not. EXPLAIN! 3 -2 -8

A: Given matrix A is not invertible.Explanation:Step 1:Step 2: Step 3: Step 4:

Q: 3. Suppose that BE Mxn(C) and B = 0. Show that I-B is invertible. Hint: Consider I+ B+ B.

A: Given : B is an n×n complex matrix with  B3 = O , where O is zero matrix. To prove :  I-B is…

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: 1. -3-1 Use the Gauss-Jordan method to find the inverse of A=-2 7 -4 or show that A is not…

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Q: Determine if each statement below is true or false. 1. Suppose AB AC. Then B = C. 2. (A+ B)" = A" +…

A: By Bartleby policy I have to solve first 3 subparts. Repost separately remaining questions.…

Q: 2 Find the determinant of 1 3 -1 using -2 6 5 a. cofactor expansion about the 1st row b. cofactor…

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Q: 1 1 2 Q1. If [A]=3 k1where k is constant. %3D 4 2k i) For what value(s) of k the matrix A has an…

A: For Inverse to exist determinant should be non-zero.

Q: 4. (AB)-1 = A-B-1 5. Suppose AB AC and A is invertible. Then B = C. %3D 6. If A is an invertible n x…

A: 13. True The dimension of the solution space of AX=0 is the dimension of the null space of A.

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

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Q: Fast convolution = Fast multiplication by C: To multiply C times a vector x, we can multiply…

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Q: 9. (a) Let A = 0 3 5. Find an invertible matrix P, and a diagonal LO 0 41 matrix D, such that P-¹ AP…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.