Find a and b such that 2 1 = a -4 + b -4

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: Find A and B such that 2x-1/(x+1)(3x+2) = A/x+1 + B/3x+2

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Q: .Prove that A =B² = C² =I. 0 -1 Given A = B = and C = 1 0 i

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Q: Find each quantity if v=3i-5j+2k and w =2i + 3j - 2k. ||v||+||w||

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Q: verify that A(B + C) = AB + AC

A: Now,

Q: Let_Z1 = 3 + i and Z2 = 5 + 2 i . Find 2 Z1 /( Z1 - Z2) - (14/5)-2 i O (14/5) + 2i O - (14 / 5) + (…

A: Topic = Complex number

Q: Prove V²f(r) = d²f dr² + 2 df r dr

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Q: Find AB if A = [4 -3 3 -1 0 -2] and B = 4 Use the tools in the

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A: Given: A=2131-10 and B=102132   (a) To find: AB

Q: Let ā = and b . Find 3ā + b. -

A: We will simply use vector addition rules to find the answer

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: If z1 = -4 + j5, z2 = -3- j2, and z3 = 2 + j3, %3D %3D %3D

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Q: Show that if a > b, and a, b i= 0, then b- 1 > a - 1, provided that a and b have the same…

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Q: 3. Show that (1+i) = 2i

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Q: If z1 =2+3i and z2 =3+4i, determine z1 z2.

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Q: Find the solution for an = an-2 for n22 and ao = 5, a1 = -1.

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Q: Use Cayley-Hamilton to find B4 and B-1 . Where [1 B = 0 1' 1 - 3 -1

A: It is given that B=12-101-13-11 The characteristic equation is given by:…

Q: If A = 2 1 2. show that A² – 4A – 5) = 0, %3D %3D 12 2 1.

A: To show that  A^2-4A-5I=0

Q: If z1 =4+3i and z2 =4−3i, determine z1z2.

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Q: Determine inf H and sup H for H = (-1, 0), H = {0, 1}U(2, 3),

A: As per the guideline i am uploading the first two. For the other two kindly resubmit the questions…

Q: 2 Show 2 3 / 2

A: We have to solve the matrix.

Q: Find all numbers z such that Az + Bz² + Cz = D [2 4 21 li 3 B=[i 1 1. A = -2 -1 [2 4 2] C = 1 3 1 -1…

A: Find all numbers z such that Az3 + Bz2 + Cz =D Given matrices,                              A=242131…

Q: Find numbers a, b and c (if possible) so that 2x 3 −9x 2 +8x −2 = (2x −1)(ax2 +bx +c).

A: Obtain the value of a, b and c as follows.

Q: 1. Show that (a) exp(2±3лi) = -e²; (c) exp(z+лi) = - expz. πί p ( ² + 7² ) = √ = (1 + i); 4 (b) exp

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Q: If v = -6i + 5j and w = -7i + 3j find 4w

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Q: Find x, and X2 -14 23 3 1 X2 - 4 X1 X2 = %3D II

A: here we use the simple multiplication of matrices

Q: Find (3u − v) ∙ (u − 3v) when u ∙ u = 8, u ∙ v = 7, and v ∙ v = 6.

A: Given, u ∙ u = 8 u ∙ v = 7  v ∙ v = 6 To find:   (3u − v) ∙ (u − 3v)

Q: Find a when d= -2 and az = - 1.

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Q: Only F, H and J please.

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Q: Find (a) ∣A∣, (b) ∣B∣, (c) AB, and (d) ∣AB∣. Then verify that ∣A∣∣B∣ = ∣AB∣.

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Q: If z1 = 2+ j3 , z2 = -3+ j4 and 23 = 5 – j %3D what is the simplified form of 21+23

A: The general form of a complex number is given by z=a+jb, where a,b are two real numbers and j=-1. In…

Q: Use the Cayley - Hamilton theorem to calculate 3 -2 -1 A-1 and A4 if A = 3 4 -2

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Q: Find Re(z) if z(2 + i) = z+(16 + 20i)

A: Given that, z2+i=z¯+16+20i. We need to find Rez.

Q: (a) Show that (A B)? + |A X B2 = (AB)? %3D

A: Question a) (A.B) = AB*Cos(x°) (A*B) = AB*Sin(x°) where, x is the angle between vector A and vector…

Q: В Calculate A and B so that + %D 1+x 1-

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Q: If z = 1 - 2j and w= 2 - 3j, express 2. w in the form a + bj where a and b are real.

A: Given  z=1−2jw=2−3j

Q: & B= Q1-Let A = 2 4 Verify that (AB)" = B" A"

A: As per our guideline we are supposed to do 1 question at a time. Please post other questions next…

Q: Find x, and x2. -4 - 4 X1 – 48 1 2 X2 10 29 X = X2 =

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Q: Find Re(z) if z (2+i) = z + (16+20i)

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Q: X Compute A*; Btr BA,(BA tr BA, (BA)O [ - 5 -4 I B -a 3 -3 5

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Q: The value of x such that 8x+4, 6x-2, 2x +7 will be consecutive terms in an AP is

A: If a, b, c are consecutive terms in an AP then 2b= a + c

Q: Let A=" and let fcx)= 2x-4x+5. Find 4 -3 り b) A

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Q: Use Cayley-Hamilton to find Bª and B¯1 . Where [1 B = |0 2 1 [3 -1 1.

A: cayley hamilton theorem

Q: If z1 =3 - 5i and z2 =26 -2i, find z1 +z2 and z1 -z2.

A: Given that, z1 = 3 - 5i z2 = 26 -2i We have to find z1 + z2 and z1 - z2.

Q: Find the degree of .2,,2 7xy + xy2 – 5x³ – 7.

A: We have to find the degree of the polynomial: 7xy+x2y2-5x3-7 Degree of a polynomial is the highest…

Q: Find a,b,c (if possible) so that 2x^3-9x^2+8x-2=(2x-1)(ax^2+bx+c)

A: The given equation is,

Q: 3,,7 _29 Simplify: V64x³y' z2º.

A: We have to simplify the following expression: 64x3y7z296

Q: Determine coefficients a and b such that p(x) = ax² + bx + 7 satisfies p(4) = -1 and p(4) = -6. a =…

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Q: I find B such that AB = C. If 5 0 3 A = 2 01 9. C = 3 5 c- (* :)

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Q: Let 1 A = 1 3 2, Find A- in terms of c.

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