1 3 01 B =-1 2 1 0 0 2] Compute AB and BA show that matrix multiplication is not commutative. [2 3 41 Q2: Let A = 1 2 3 -1 1 2] [1 1 [-1 -1 1 Q3:Given A = 2 -3 4, B =|2 2 -2 l-3 -3 3 -1] l3 -2 3] Show that AB # 0 , BA 0 Q4: Compute AB and BA whichever exist [1 2 3 4 51 A= 6 7 8 0 3 l6 -3 4 -2 1. 3 4 B =I5 6 6 5

Q: Use A-1 =(1/detA)adj A to compute the in­verse of the coefficient matrix 2x + y + 3z = 1     y + z…

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A: Given that G=0-6-1-10-4-8-355, F=100010001, E=120

Q: 10. Prove the following properties of matrix multiplication, where A and B are m x k matrices, C and…

A: Use the properties of matrix addition and multiplication to prove this.

Q: Г1 8 5° Let B = 0 9 5. Find a triangular matrix A with positive diagonal entries such that A2 = B.…

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A: Since the second part is an graded question therefore according to our honor code we cannot answer…

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Q: 1. Find the general solution of x =x2 – x1 + t, x, =x2. 1 2 3 2. Explain why we cannot aclculate the…

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Q: 1 5 Let A = then the Cayley-Hamilton Theorem for matrix A is ... -8 2 A2-3A+42| =0 A2- 2A +40 I = 0…

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Q: 1. Given the matrices 6 21 55 4 l12 5 6. 12 5 18 0 44 B = %3D The dimensions of AB is a) 3 X 2 b) 3…

A: We know that if order of matrix A is m×n and matrix B is n×p then order of matrix AB is given by…

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Q: 5.1) Find the matrix A if det(A) =2 and the classical adjoint is -1 - 2 ad j(A) = - 6 1 6. 24 4.

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Q: (b) Consider the following matrix 1 4 -1 1 -2 -3 2 7 A = 1 0 -1 2 3 5 -3 -5 i. Find an…

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Q: 4 - 6 8 - 2 - 8 and C = 3 Verify that AB =AC and yet B# C. 3 Let A = B = 7 - 8 12 Show the…

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Q: 13. Find matrices A so that a. A +0, but A² = 0 b. A? + 0, but A³ = O Can you make a conjecture…

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Q: -1 1 -1 [4 2 3 Calculate the following matrix multiplication: 1 2 -1[2 3 B =1 3 Suppose A= 1 1 0,C=0…

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Q: 2. Consider the matrices 20- -1] 3 and F=0 1 1 2-1 0 2 3 1 5 C = 0 8 D = |1 4 %3D %3D %3D %3D 54 2…

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Q: 1 a Consider a 3x3 matrix P= 0 1 2, and an another matrix 0 0 1| Q = [q] such that P² -Q =I.Here, I…

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Q: 49. The product of 2 × 2 matrices A and B is the matrix AB defined by (:)(:)- a' b' d d' aa' + bc'…

A: A=abcd, B=a'b'c'd'  &  AB=aa'+bc'ab'+bd'ca'+dc'cb'+dd' Now, detA=ad-bcdetB=a'd'-c'b' Therefore,…

Q: Determine the cofactor of 2 in the matrix A = 1 9. 7 4 O-4 3. O -3 2.

A: Cofactor of any element aij is the determinant of the matrix formed by deleting row i and column j…

Q: Express A and A- as a product of elementary matrices. [1 0 51 A = 0 16 li 0 3

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Q: -10 1 Let A = Construct a 4 x2 matrix D, using only 1 and 0 as entries, such that AD = I,. Is it…

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Q: 1. Find a matrix K such that AKB = C, given that: 1 4 8 -61 -1 6. [2 0 ; B = 6 -2] A = -2 3 ; C: 6 1…

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Q: Let 1 -2 22 -11 1 1 A=0 -1 P= and 0 1 0 %3D -1 100 P diagonalizes A, then compute the matrix A 2577…

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Q: Pls help!

A: Given that A is a 3×3 matrix that satisfies                A110=-1-10, A10-1=-404, A01-2=04-8 Note…

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Q: 2. Consider the matrices [2 0 -1 D = |1 4 5 4 [2 -1 0 1 1 0 3 A B 3 and F = 0 15 2 (a) Show that A,…

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Q: a let d= ( ). = ( :) and C = ( ) -3 2 4 3 4. Let A 1 -2 2) -4 6 4 -1 (a) Compute AB, 2B – C, and…

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Q: 2. Consider the matrix 1 2 3 B = 2 3 4 3 4 6 (a) Show, by calculating det B, that B has an inverse…

A: Part a)   Determinant of B: |B| = 1 (3*6 - 4*4) - 2 ( 2*6 - 3*4) + 3(2*4 - 3*3)     = 1(2) -2(0) +…

Q: 2- Consider the matrices A = [₁²1], B = [₁ J₁ C=__=₁} K₁ = [50], K₂ = [₁²2] Solve AX + BY = K₁ CX +…

A: Given: The matrices are A=3211 ,B=0110,C=111-1, D=11-14,K1=5000 and K2=21102. To find: The matrixes…

Q: 3 3 , Let M 1 -2 -3 Find c1, C2, and C3 such that M3 +¢¸M² + c2M + C3I3 = 0, where Iz is the…

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Q: A B 0 D where A, B, D are 2 x 2 matrices and 0 is the 2 × 2 zero matrix. Prove that det(M) det (A)…

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Q: Find a pair of unequal 2 × 2 matrices A and B , other than those given in Example 9, such that AB =…

A: Let A=0-10  2  &  B=3500.

Q: Solve the matrix equation for X. 3-3 9-8 Let A = 0 4and B = B-X= 3A -3-3B 0 5 %3D 6-9 %3= -3-15 -18…

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Q: Show that AB and 8A are not equal for the given matrices. 11 5 5 AB BA 151/2 1515 1會

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Q: 7. ). Find all a and 3 > 0 so that the matrix B : 23 6 2 is %3D В 2 diagonally dominant; 12G

A: For a matrix is to be diagonally dominant, there are three conditions or properties, first one is…

Q: 1. Verify whether the two given matrices are similar. To justify your answers perform suitable…

A: Let me provide in detail calculations entirely.....     We say that the matrices are similar, if…

Q: (2) Consider the following matrices A [2]. 35 (i) Compute 3.4 - 2B and B². (ii) Show that AB ‡ BA.…

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Q: 2. Find the product AB of two matrices. [1 B = 10 2 a) A = -1 146 -1 13 [1 21 -1] 3. Let A and B be…

A: 1. The given function is fx=1+x+x2 and xi=0, h=1. Approximate the function by using the second order…

Q: 8. Given the matrix B = |1 1 1 1 1 1 Which of the following matrices solves X in the matrix equation…

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Q: Consider the matrices 2 0 -1 1 4 [2 -1 0 1 1 0 3 1 A 2 3 В 1 5 |1 0 C = 0 8 3 and F 5 4 2 (a) Show…

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want…

Q: 1 4 [5 0 lo 4 -3] b) Given D = -2 3 1 -2 1 85 72 -54] A =| 50 32 -24. -35 -24 18 Find a matrix BT ,…

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Q: 4. Consider the matrix (0 1 d B = | 1 c 0 0 0 1 (a) Use Gauss-Jordan Elimination to compute the…

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Q: 1 1. Find numbers x, y and z such that the matrix A= 0 0 0 1 0 4 -2 A?+ satisfies 1 4 = 13 0.

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