[2 Let A = |3 1 1 1] 3 2 1] 1 1 2 2 3 2 1 and B 1 Compute AB 3 1

Q: -1 -2 -3 2 3 5 6 1 Let A = 1 Compute A-1 using adjoint.

A:

Q: [1 1 0] 5. Let A = 0 1 1 and B = |0 1 1. Compute A+B, A×B, and AOB.| li o 1l [1 1 01 li 1 ol

A:

Q: 1. If x=27-3k and y = i +5j -4k, express each of the following in terms of i, j, k b) 2(3x+y)-3(4y…

A: Given x→=2i→-3k→ & y→=i→+5j→-4k→To write expression in terms of i→,j→,k→:

Q: 1. Evaluate the integral (22 4т + 4)4/3 da. 3 (a) 1(x+2)1/3 +C 11 (b) (r+2)1/3 + C 3 3 (c) 교 -(x-…

A:

Q: Let X = [-1 -1 1] and Y = [0 1 2] consider -1 -21 [a11 XTY = | -1 -2 а32 азз. where X' denotes the…

A:

Q: 4. Prove that (À x B) - (B x C) x (C x A) = [AB %3D

A: The solution is given below.

Q: (2 3. Let A = G) and B = (; ). Compute and compare: %3D a. Det(A + B), det(A) + det(B). b. det(3A),3…

A: We have A=2-135 and B=1211 Part(a) Now if we have a matrix M=abcd, then, detM=abcd=ad-bc Therefore,…

Q: Let  A = (1 1 1, 1 2 2) Find R(A), R(AT), and N(A)

A: Given,A=111122the reduced row echelon form of AMake zeros in column 1 except the entry at row 1,…

Q: a) Let A = -1 B = 2 2 3 and C = |2 1 1 If possible, 3 -2 11 -1] 11 1 -1. compute (A" – B)" +…

A:

Q: Let A = AB= 1 -1 2 0 5 1 -2 0 −1 14 -57 3 [-2 27 -32 0 -5 2 -1 1 0 -7 1 X -2 and B = 5 2 Find x such…

A:

Q: (b) Let 2a13 2a12 a11+a21 a12+ a22 a13+a23 2a11 a11 a12 a13 A = a21 a22 a23 and B : a31 a32 a33 a32…

A: The determinant is a scalar value that is a function of the entries of a square matrix. It allows…

Q: Let A=0 1 1 then adj(A)= 0 0 1 Select one: a. 1 1 1 0 1 1 O b. 1 0 0 -1 1 0 0 -1 1 1 -1 0 0 1-1 0 0…

A: To find: adjoint of the matrix

Q: -1 2 1 Let A Compute AAT and AT A. 1 0 1 1 -1

A:

Q: 1) Compute et where t € R, and 1 -3 3 A = |-2 -6 13 a 0 0 A= |0 a 0 |,a ±0. -1 -4 8 a

A: Given Details:  To find:

Q: Compute |A| for the following:

A: We have to compute A for the following given matrix: A=210121012 We know to determine the…

Q: [1 2 [1 2 01 Q13: If A = 1 1 0 li 4 ol [1 2 B = 1 1 -1 and C = 1 1 -1. Show l2 2 3 3 2 li 1 11 that…

A: given matrix

Q: [1 Let A = -2 2 -1 3 1 0 li o -1 B = 1 0 -2 1 1 and C 0 0 Compute BAT – C³.

A:

Q: (b) Use the value of det(A) to evaluate 1 2 3 3 -2 3 3 1 1 1 2 -2 -3 -1 4. 1 3 -2 4) 2. 2. 021

A:

Q: 3. Compute the det A for 0 1 -1 0 -1 3 1 2 A = 2 2 0 -1 - 0 1 -2 1

A: As it is a 4 by 4 matrix we can expand our ain't any column and find the determinant of matrix

Q: 3. Compute |(1+ i)(1 – i)(1 + 3i)| .

A:

Q: If z=x²sinh then %3D дхду O A. (-x3– 3x2y +2xy2 – 32x)/16+x²– 2xy + y2 (16+x2- 2xy +y?) ² O B. (x3–…

A:

Q: 1 1 1 c) Show that det [1 а'] %3D (а — 1)(b — 1)(b — а), 1 < a<b. a 1 b b2

A:

Q: B =: 0 -4 A = -1 3 1 1 C = -3 & & Find ??? 1- Prove that At + Bt + Ct = (A+ B + C)t %3D 2- Prove…

A:

Q: Let 0 3 0 1 1 2 2 1 A = -1 B : 0 1 1 2 0 1 -2 Compute det(AB), det(A-'B-!) and det(2A) where 2A…

A:

Q: Show that A and B commutes: * 2/3 -1/31 1/5 7/15 -1/5 1/15. 1 1 0. 21 1B =|-3/5 2/5 2 4. 3 %3D -1 ]

A: Given A=112231-124, B=230-13-352515715-15115

Q: a) If Z1 = -3 + 3i and Z2 = 4i. Show that: i) Arg(Z,Z2) + Arg(Z,) + Arg(Z2) ii) Arg (2) = Arg(Z,) –…

A:

Q: 3) Compute A-1 using adjoint. -1 -2 -3 -41 1 2 3 Let A = 5 1 0 0

A:

Q: 1 2 A = 1 B 1 2 : , - compute AB 3 4

A:

Q: Let -1 15 0 1 -1] and P =0 01 1 1 5 A = 0. %3D 0 15 -2 105 Given that diagonalizes A, then compute…

A:

Q: Multiplication is defined by 1 a' b' 0 1 c' 0 0 1 a+a' b' + ac' + b c+c' 1 a b 0 1 0 0 1 1 (1) C 1 1

A: SolutionGiven1ab01c0011a'b'01c'001=1a+a'b'+ac'+b01c+c'001We need to prove the set of all 3*3…

Q: If A, B are 3 x 3 matric det(AB ') = 12 and a Then det(3A". (B)¯1)

A:

Q: Compute |A| for each of the following: 2 3 4 (a) A =| 1 2 4 3 1 4 2 1 1 2 1 1 2 1 -1 (b) A = 2. 2 2…

A: Givena) A=234124431b) A=210121012c) A=21-122-3-14132-31-2-11d) A=2100121001210012

Q: Let 1 2 3 -1 A 4. Compute Ax if (a) x=0 (b) x= (c) x=

A:

Q: F 6) Frud the weasuves of all six augles of hexaqou MCA= 2X+ら ABz X-10 WCC =X+5 TucD=x u CE = x+1S…

A:

Q: Compute a (х + 2) dx. O x3 + x² + C O x² (x² + 2x)+C x2 + 2x ) + C 2 - + C 2 + x2 + C 3

A:

Q: Let a-2-3j.kb-41-) and c-1-31-2k. If d is such that da-9. db-7 and dc-6, then d is equal to 01-31-2…

A:

Q: 8 1 4 9 1 1 1 4 7 10 3 7 7 11 1 What is the mode? If there is more than one mode, enter your answers…

A: Mode: mode may be defined as the maximum frequency of the observation is called mode.

Q: Suppose A and B are invertible then det(A) = det(B) %3D O True O False

A: Consider A and B are invertible

Q: -1 -2 -3 -41 2 3 6 Let A = 5 1 1. 3.) Compute A using adjoint.

A:

Q: Compute each of the following: (a) A3 (b) B2 (c) (AB)3

A: Given: A=10-1211310, B=001-111201

Q: In P3 v = t3 +t – 4, v1 = t3 + 2, v2 = t3 +t – 1, v3 = t3 – 3t and v = a,v1 + azV2 + azV3, then find…

A: All the options are incorrect. The detailed solution along with the correct option is given below.

Q: Let z = (2 – 2i) (3 +3/3i). Compute z100.

A:

Q: 0 1] -1 3 -2 0 0 1 Compute det (B), where B 3 det (B*)

A:

Q: Let 1 5 -1 1 1 0 0 0 1 A = 1 and P = 0 15 -2 1 05 Given that P diagonalizes A, then compute A** Al1…

A: We have A=-15-1010015-2 and P=110001105 We have that P diagonalizes A. This means A is similar to a…

Q: Let 0 3 0 6 3 A = B = 1 0 1 O 2 0] 3 -2 -4 C = 3 -2 -4 3 6. 3 7 (a) Compute AB. AB = (b) Compute AC.…

A:

Q: 3. Prove that (An B)² C A x B.

A:

Q: 2. Determine the products C = AB and D = BA if %3D %3D 4 61 -7 A = 1 -5 -1 3 -5 2 %3D -9 --13 -4 7 6…

A: The given matrices are A=46−7−51−9−3114×2 and B=−13−52−13−4762×4.

Q: 1. Let A- 3 -7 3 B. e not avell depnedjuhy. 5 -3 -2) If well defined, Compute tice that are. ) Z A +…

A: