1 2 a) Let A =-1 [1 2 B = 2 2 -1] [1 0 3 and C = 2 1 li 1 31 1 1 1 If possible, -2 1] li 3 | compute (AT – B)" + C(B¯1C)-1 and BT A.

Q: Compute A-213 and (213)A, where A = A-213 = (213)A= 4 - 1 3 1 - 5 1 1 - 3 -2 6-1 3 3-5 1 1 -3 -2

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Q: Find AB such that [3 1 21 T-1 A = 2 1 2 and B =|4 [1 2 2] -2 -5]

A: The solution is given as

Q: Let A 1 value of k. [23] A and B = 1 -7 217 k If AB = BA, find the

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Q: 1 -1 0 1. Let A=(23¹), B(4). 3 -5 (a) Compute AB and BA. (b) Compute A + B and B + A. (c) If c = 3,…

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Q: Which of the following is equal to (2° – 7æ)*dx = (x6 -

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Q: Let A = d ghi Assume that det(A)=-11, compute the following. NOTE: Enter all values exactly. (b) det…

A: Topic = Determinant As per guidelines , At a time only three sub-parts can be answered. please…

Q: Suppose that 2 1 -3 1 A = 1 -1 В 5 1 1 3 -3 Which of the following operations are defined: (i) CB"…

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Q: Show that 1 1 1 x2 y? z2 (y² – a²)(z² – a²)(z²? – y²) - - ,4

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Q: Let A = 2 3 4 1-3 5 Find the following: (a) (DA)T and B = 1 5 2 -1 0 1 3 24 and C= (b) 2C+C² 4] 6 -2…

A: The matrixes are :The main aim is to find :a) b)

Q: Compute each of the following: (a) A2 (b) B3 (c) (AB)2

A: Given A=123-2 and B=1-123We need to find (a) A2(b) B3(c) (AB)2

Q: If  A = [ 1   0   0   0 ]      [ -4   1   0   0 ]        [ 1  -1   1   0 ]        [ 7  -2  1   1 ]…

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Q: 6 - 1 2 Compute A - 31I, and (312 )A, where A = - 5 4 - 5 - 3 1 2

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Q: (i) (Z- Q) and specified in it using the most concise notati

A: Firstly we write elements of both sets Z and Q and then find Z–Q

Q: verify that (A + B)T = AT + BT

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Q: 4x – 2 > 2(x + 6)

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Q: Find curl (82 i + 9x j + 6y k). curl (82 i + 9x j + 6y k) = = ( )k )i + (i )j + (

A: To Find : curl(8z i + 9x j +6y k)

Q: Let a=⟨−3,−2,2⟩ and b=⟨−4,−2,0⟩ Compute:

A: Given that          a = <-3, -2, 2 >    and    b = <-4, -2, 0> Here we have to compute…

Q: Let T: ²->² be a linear transformation that maps u = Use the fact that T is linear to find the image…

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Q: Determine the simplified form of (4 – 37) (–9 + j) – (8 – j5).

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Q: A = [12] 13 compute 4-3

A: Solution :- First find the inverse of matrix A Here A =1213A-1=1213-1Find 2x2 matrix inverse…

Q: Find the string that has this generating function: a) (1− x)−3 b) (1+2x)−4 c) 1/(1 −3x)3

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Q: Q1) Find the inverse of A (1 00 A=2 1 0 5 4 1

A: A=100210541

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

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Q: 5d rd-2a 2b a D. 5e-h If det d Lg h i 1, compute det e If - 2c %3D C 5f-

A: To compute determinant of the given matrix.

Q: 1 0 A= 0 0 0 -1 3 2 1 7 3 1 1 -1 0 -600 3OTSO 0 1 0 2 1 B= 3/2 6 1 -1/2 3 5 -2 2 1 -6 4 1 1 0 3/8 3…

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Q: Q 1. Simplify the following Q2. Factorise the following quadratic expressions: Q.3 Fully factorise…

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Q: If Z1 = 4 + 5i and Z 2 = -1 + I,  express in the form a + bi  (i) Z1 + Z2   (ii) Z1 – Z2

A: Formula used  sum of two complex number is given by  (a1+b1i)+(a2+b2i)=(a1+a2)+i(b1+b2)

Q: Compute A-413 and (413)A, where A = A-413 = 6 - 4 - 3 - 2 4 3 - 6 1 3

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Q: 1 2 and B ol: Compute the following: 2A, A – B, AB, and BA. Let A -3 1

A: Given problem:-

Q: [10 4 -1] Q1) Find AB if A =-2 -1 and B =0 2 -3 3 20 l10 -5

A: Given Matrix A=1004-2-12-3320 and B=1-10210-5 to multiply the matrix A and B proceed as follows…

Q: 1. Let -1 3 [1 2 3] A = 2 1 4 [1 2 3] 0 1 2 -4 1 and C 2 1 -3 Find the following: (a) 24 (b) 2АB (c)…

A: Solve by matrix operations

Q: Let 1 2 3 1 A = | 6 -2 3 and I3 =| 0 1 5 4 1 If 2. is a real number, compute 2I3 – A.

A: A = 1236-23524 I3=100010001

Q: H.W Compute the following products: 7 a. 1/3] -2 31 7 -6 21 ь. [3 -1 4] х| 5 1 -4

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Q: [o A = 2 -1 and C = 1 .2 2 -1 -1 AT + 3CT

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Q: Let 4 1 - 3 -2 -9 and 1 A =| - 3 В C =| 0 3 Prove that 5 - 2 -1 1 1 – 4 | (BA)" – A" B" + AC = AC,…

A: (BA)T - ATBT + AC = AC In LHS, We know that, By the properties of Transpose, (BA)T = ATBT .…

Q: 1 a) Let A =-1 [1 0 3 and C =2 1 l1 31 [1 2 1 1 B = 2 2 1 If possible, -2 1] li 3 -1] 1 compute (A"…

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Q: Which of the following are multiplicative inverses:  (a) 5y/x and 5x/y (b) 5y and 7y (c) 7y/x and…

A: Here we have to find which of the options are multiplicative inverses.