1. 2. 3. Given A = 3 -1] 4 7 Given X = and B= 1 -2] [10 31 Show that (X+Y)(X-Y)# X²-Y² 1 [ and Y= 1 1 Given the matrix D= 2 -3 4 3 -2 -2 Determine AB and BA. -3 1 2 - find the inverse matrix of D.

Q: 2. Write the following in vector/matrix notation, specifying all components of the matrices. If it…

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Q: Suppose that A (A, then det(B)- Select one: A. 15 OB. 5. OC -15 ODO th ) is a (4 x 4) matrix, where…

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Q: 6. 5 X•W Compute x using the vectors w = -2 and x =| - 2 - 3 2 (Simplify your answer. Type an…

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Q: 04) X = [ Y = ; Hand Z = [ 3 Q.4) X Prove the Distributive laws of multiplication over Subtraction…

A: The given matrices are X=23-10,Y=0131  and  Z=22-10. The distributive law of multiplication over…

Q: 4. Determine whether the given matrix is invertible without computing its determinant. -3 0 1 3 5 8…

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Q: what value is in the 2nd row 2nd column of V x 3Q [3 4 -31 Г2 3 V = |0 -1 Q = 18 5 %3D 12 -2 1 1 5…

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Q: For the matrix below: [1] [2] [3] [1.] 3 4 7 [2.] 6 8 2 [3.] 4 3 9 What is A[-c(1.3).]? Choose one…

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Q: 2. Find x, y and z x- 3y + 5z = -9 2x - y-3z = 19 3x +y+ 4z -13 %3D (a) Use inverse matrix method…

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Q: -3 -2 -3 17. Find the inverse of the matrix A= 5 3 5 2 1 1

A: Given A=-3-2-3535211 The inverse of A is given by A-1=1Aadj A A=-3(3-5)-(-2)(5-10)-3(5-6)…

Q: Inverse Matrix Method.

A: Given equations are x + 2y + z = 2                        ... (1)2x - y - z = 1…

Q: 2.1. Prove that B Is erse of A -17 11] -7,B: 0 3 2 [1 1 2 2 4 -3 [3 6 -5] 2 A = -1 11

A: To prove that B is the inverse of A.

Q: 4. (a) Suppose that A and B are invertible matrices and c is a scalar. Solve the following equation…

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Q: 7) Find the determinant of the following matrices: -51 6. 1 5 b) 8 2 8. -31 -3 7

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Q: 3. Let [1 2 3 A = |4 5 6 7 8 9 (a) What is Aēj? Present it as a linear combination of the columns of…

A: Given

Q: 2A3. Given the following matrices 23 [031] H [Bijl= 0 5 1 [Cijl= 1 0 2 021 243 Demonstrate the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: If T ([*]) = x + 2y y - x Y and S = a+b+c 2ab-c 188 2 then the standard matrix for So Tis

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Q: 2A-1-630- 1 3. If A= 3 B= -5 and D= 4 Γα [] Le , find a matrix C= c d such that 3A + B - 2C= D.

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Q: Q4) For Matrix A = 2 1 2 5 -1 4 1 -1, Find the following: 1 1. The Determinant of A. 2. The Minor of…

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Q: -3 -8 4

A: here we find the inverse of the matrix by  A=IA

Q: Find the characteristic equation of the given matrix: 8. -D1 2 0. A = 8 -D1 6 -6 1 6 5 Select one: O…

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Q: Q.1 Consider the following matrix (-1 3 0Y A = 2 0 2 2 1 4 1 B- 2 -1 5 -3 0 1 10 C-2 A. Show that a.…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: 1. If 1+ A is nonsingular, show that (I+ A)"' and I– A commute and (I + A) +(I+ A')"=1, where I is…

A: Given I+A is nonsingular and we have to show that I+A-1 and I-A commute and  I+A-1+I+A-1-1=I

Q: Q5. Suppose B = QRQ-1, where Q is orthogonal, and R is upper triangular. Show that if B is…

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Q: (12) Use the adjoint of matrix to find the third row fourth column element of the inverse of -1 1 4)…

A: Consider the given matrix as A=0-11432-21040110-11. The inverse of the matrix A is given by…

Q: 0 1] ¹-[i J. (we E3.2. (15) Find all 2×2 matrices B that commute with the matrix A= say that the…

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Q: A = 60- -5 1 0 0 9 2 M33 = A33 = 32

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Q: 7. Which option represents the equations below written in the form AX = B? 3x +4y- 2z = 4 x+5y + z=3…

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Q: 5. Find the cofactors and the adjoint matrix of A where (1 1 -1 b) A =|2 3 7 0 -1 a) A =-2 0 -2 4 -3…

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Q: 5. By inspection, explain why the determinant of the following matrix is zero: 4 2 8 -4] -5 4 -1 10…

A: I have append the concept in the solution.