(Section 2.1) 1. a. Given A [21] 4 i. A³ ii. A-³ iii. A² — 2A+ I compute the following,

Q: 10) Determine if the following statements is true or false. Make sure to label your answer and show…

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Q: ² 2y 20) 2.xy

A: Let's find.

Q: (2.1) Determine the conjugate of √5+121+√5-12 √5+121-√5-121

A: Replace i with -i to find the conjugate of a complex number.

Q: Find the following products for P (7,0,2), q = (-2,2,-2), 7 = (0,2,-3) (F. P)a

A:

Q: 1. If p = 5i – 4j + 3k, q = -2i + 4k and r = 5j - 6k. determine p. (q x r).

A: Given vectors ,p→=5i∧-4j∧+k∧q→=-2i∧+4k∧=-2i∧+0j∧+4k∧r→=5j∧-6k∧=0i∧+5j∧-6k∧

Q: Determine how AABC was translated. ...

A: We can use the graphical translation in order to solve the given problem.

Q: (8) IF: A=i+j+ k, B = i +2j - 3k Find A-B, A.B, 2A.3B, A.B, (A+B). (A-B)

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Q: -1 31 -1 1,D = 3] 1.0 -6 -1 3 Let A = 3 B = C = 3 1 -2 1

A: Topic:- subtraction of matrix

Q: 4. If ā= 3i - 2j and b=-5i- j, express 3 a -b in terms of i and j.

A: This is a vector problem

Q: 1+3i +2-5i = (1+i)10 =

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Q: 2. If A = 2i + 2j-k and B 3i-6j + 2k, find (i) AB and (ii) AX B.

A:

Q: Establish the identity arg() = argz1 – argz2 .

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find A ) A= [ ' for A -3 -2 3.

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Q: •1-i Evaluate 4z dz . J3i

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Q: (d) (e)

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Q: 4. Simplify 4y 2V5. 2 22

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Q: I. Solve the following to Notation z = x + iy 1. In(-7) 2. z = i Z1 3. For Z, = 8+ 3i ; Z2 = 9 – 2i…

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Q: Find JA|, IB|, A + B, and |A + BỊ. Then verify that |A| + |B| # |A + B|. 15 0 1 -1 A = 1 -1 0 B = 5…

A: topic - determinant and matrices

Q: 2.2.12 Prove that if x and y positive real numbers, then Vx+y # Vx+ Vy. Argue by contradiction. are

A: Let x and y are positive real numbers. Also let x+y=x+y Now squaring on both side,we get…

Q: 0 5. 21 ) Let A=[¹²] and B= [¹ Find AB. 13

A: Given query is to find Matrix product.

Q: [2 1 Q2) Find B".A Where A = 3 0 and B = 6 [2 -2 1 3. 1

A: The given matrices are A=21-130-3  and  B=2-21013. Evaluate BT as follows. BT=2-21013T=20-2113

Q: Let 1 3 A = -2 -1 and В - 2 -2. a. Find AT and show that (A")' = A. b. Show that (A+B)" = AT + B".…

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Q: Find AB.

A: Given: A=1234 -56, B=1-102-2310040-3 To find: AB

Q: 3 1 4 -2 01 3. et A = O 2 B= -3 2 2 2 -4 Compute (2 A)"+CB+A)- AB +(BA)T.

A: Given:  A=314-201122B=102-3112-41 To Find:  To copute 2AT+B+A-AB+BAT.

Q: Suppose the True mudel is Ti =B, +BzXzi te varia ble to Ise mudel and estimate T= Bi tBeXzi t B3X3;…

A: Given  True model  Yi = B 1+ B 2X 2i + e I We are adding an irrelevant variable X3 to the model.…

Q: Use back-substitution to solve the sys 4x3y - 2z = 21 6y5z = 5 z = -7 Select one: O (-2,-5,-7)…

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Q: 2) If a + b + c = 0, show that a × b = b × c = cxā

A: Solve the following

Q: c) Given: [1 0 [3 3 171 B = 2 2 11 and C = 3 li 2 21 -1 [2 -1 51 A-1 = |1 3 3 1 [4 1 2] 7 l2 -2 o]…

A: Given: To find : X if ATBX = C We know that AT-1 = A-1T  and AA-1=I

Q: (a) (3+5i)+(2–31) (b) (3+ Si)+ 6 (c) 7i-(4+ Si) (d) (2-71) (3+41)

A:

Q: Find b if a = 3.

A: Given: The graph of a straight line as To find: The value of b if value of a=3.