-6 Let A- Ч -2 Constauct 2 X2 mat mix B such that AB is the matmik. Use zero two different nonzer0 columns fon B

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: Prove that: m3 = m – 3m,m, + 2m²

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: (1) IF: ā=21-j+ k, b=i+2j- 3k, č=-3i+2j+ k Find : a.b, ã.č, č.ã‚ (a+b).(a−b),(ã+ê).(ā-č) (a +2b-3c).…

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Q: If B has a column of zeros, then so does BA if this product is defined. True O False 4

A: Given B has a column of zeros , then to find BA has a column of zero or not .

Q: If u = -12i-2j and v = 6i+7j, then find u - 2v. Please show work A) -6i+5j B) -24-16j C) -20i+5j D)…

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Q: If det(A)=0, then A has a row consisting entirely of zeros. Select one: O True O False

A: Since an entire row or column of a matrix A has all zeros, then each permutation in the calculation…

Q: -4 -4 -1 1 -2 If A = 5-5 and B compute AB and BA, if possible. -2 -1 -2 -1 -4

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Q: Find (a) ATA and (b) AAT. Show that each of these products is symmetric.

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Q: 3. 'N M2CAN = 18x - 1 MZMAT = 15x + 20 Find the following: M2CAN = MZMAC = MZTAN = MZMAT = MZMAN =

A: Adjacent opposite angle are always equal so equate both and get the x value. Then put the x values…

Q: If z, = 3+2). z, = 4 - 8j and z, = 2+5j , find the conjugate of: (a) z, + 22 (b) z, -z, (c) z, (d)

A: Given, z1=3+2j, z2=4-8j & z3=2+5j To find conjugate of, (a) z1+z2(b) z1-z2(c) z1z2(d) z3z2

Q: Let n:Z→ 2 the n(Z) =: %3D {3Z,1+3Z,2+3Z} {3Z,1+3Z} {3Z}

A: Let π:Z→Z3Z To find  : πZ

Q: 2. If BDbisects <ABCand m<ABD=10x-3 and m<DBC=2x+5, find m<ABC. A

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Q: aまb=a+bt2ab 9Ab=ab+2

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Q: if 1 A = 4 -3 0 7 4 5 %3D 5 0 7 then A is symmetric

A: Transpose of a matrix: Let a square matrix A=[aij]n×n . Then the transpose of A is denoted by AT and…

Q: 4. Find solutions of the system of congruences x = 3 (mod 7), x = 1 (mod 5), x = 4 (mod 6). a) 964…

A: I have used chinese remainder theorem

Q: 26 a ba Q(1E) = }a+bV2 / a, be Q4 2.1) Show (K,t,') eld under add. and rmult, of amotmias 2.2) Show…

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Q: If B has a column of zeros, then so does BA if this product is defined. O True O False

A: We check that if B has a column of zeros , then so does BA if this product is defined.

Q: snip

A: Solution: Consider the given matrix: A = 1-324-1-2-513 We have to find A1 A1 =max1≤j≤n ∑i=1naij  =…

Q: If z, = 12 +5i and z, = -5-3i then find: Z2 2- zzlz -I Z2 3.

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Q: 24. M2CDE = 142°, %3D MLBDE = 7x +7, and M2CDB = 21x – 5. Find M2CDB. B D E

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Q: 2. Given: m<GFI = 128 Prove: MZEFI = 40 %3D (9x - 2)° E Use two columns to separate your statements…

A: Given m∠GFI=128 To prove : m∠EFI=40 Use two column to separate your statements and reasons

Q: Let and 001 1 0 0 2 1 A = 0 If the entries of A and v belong to Z3, what is the third entry of Av? 2…

A: Recall matrix multiplication and modulo arithmetic.

Q: 22. ZB is a supplement of ZA and mLA = 65.2°. Find mZB. 23. ZA is a complement of ZB and mZB = (3x -…

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Q: Suppose z1 = 2+j, z2 = 3-j2 and z3 = -+j. Evaluate 23+2-5-1 2-+3-3 %3D

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Q: Fimd The Maclavrin Seaies of the foncation f1z) = Z-7 %3D z-22-3

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Q: Find (a) ATA and (b) AAT. Show that each of these products is symmetric.

A: a).

Q: By using Naïve Gauss Elimination. 2х + у — z %3D6 х — 2у + z %3 -3 Зх + 2у — 2z %3D 12

A: Write the given system of equations as 2x+y-z=6x-2y+z=-33x+2y-2z=12 It can be written as…

Q: ALGEBRA Refer to rectangle QRST. 1. If QU = 2x + 3 and UT = 4x - 9, find su. 2. If RU = 3x 6 and UT…

A: Since you have posted multiple subparts question in this question so I have solved first three parts…

Q: Find A'A and AA". -1 1 4 A = 2 0 2 (a) ATA (Б) ААТ Which of the products are symmetric? (Select all…

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Q: Find the product of x and y if x, 3/2, 6/7, y  are in G.P

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Q: Let -1 7 -1 A = 15 -2 and 1 1 1 P =| 0 1 1 0 5 Confirm that P diagonalizes A, and then compute A11.

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Q: Use the inner product (o, 9) = 2obo +a1b1 +a2b2 to find o, 9), |P||- |||, and d(p, a) for the…

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Q: The Cholesky factorization of 53 is UTU where U is: 3 2 V5 5 -3 V5 1 3. 0 1/5] V5 5 3 0. 1

A: The given matrix is,5332

Q: 10. Given à = 5î – 2ĵ – 2k and B = 4î + ĵ – k, compute Proj A. %3D

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Q: HW/ O Find A. B , AXB For A= (+ 3j+2K

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

Q: (2) [10] Let a;; be the number in the ith row and jth column of the arra -1 ... 1 -1 ... 1 - ... -1…

A: Given:  aij=0            if i&lt;j-1        if i=j2j-i      if i&gt;j  Now,…

Q: 1 0 -1 Let A = Is 6 = 2 in the span of the columns of A? Is w = (-1 1 1) in 1 1 the span of the rows…

A: We need to find whether b is in span of columns of A and w is in span of rows of A.

Q: 7. The quadratic spline interpolating (-1, 0), (0, 1) and (1, 3) is Qo(x) = 1 + 2x + x², Q₁(x) = 2x…

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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: 2. Find つxdy [ ১ 2. Z(ズィ bny4s)

A: Given: z=x3+lny2+513 We to find ∂2z∂x∂y ∂2z∂x∂y=∂∂x∂z∂y              =∂∂x∂  ∂yx3+lny2+513…

Q: 5. Define * as a*b = a +b + ab, comput a. 3* -4 b. -1/2 * 3 с. 1/3 * (-1/5) d. -3 * ( -1/2) С.

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Q: The set B = {4+ x2, 12 – 4x + 3x2, 12x - 31 – 8x2} is ab rdinates of p(x) 75 – 24x + 19x? relative…

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Q: Determine whether i is an element of Q (V2+ i).

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Q: Use the given LU factorization to find all solutions to Ax = b -7 4 9 |,b : 1 0 01 -7 1 0 -1 7 1 -39…

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Q: 10. Find all solutions of the system of congruencies x = 2 mod 3 x = 4 mod 5 х З тod 7

A: Use Chinese remainder theorem Answer and explanation is given below

Q: 2. Determine the greatest common divisor of a(x) = x³ – 2 and b(x) = x + 1 in Q[x] and write it as a…

A: Given the polynomials   ax=x3-2 and bx=x+1 to find gcd(a(x), b(x)) and write it as a linear…

Q: 10. Find solutions of the system of congruences x = 3 (mod 7), x = 1 (mod 5), x = 4 (mod 6). a) 964…

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Q: Find the solition set of 3(2x+2)-28(3x)+3=0

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Q: If Z =1-j3,Z2=-2+j5 and Z3 =-3- j4, determine in a + jb form: Zi (b) Z3 (a) ZIZ2 (d) Z,Z2Z3 (c) Zi +…

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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.