Find a and b such that 2 1 20 = a 2 +b -4 -22 -1 a = 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: Determine x and y such that 4 -1 -2 x - Y -4 -3 8 -5 -5 4 1 6 2x + y 1

A:

Q: ii. If A = 2 [2 51 [3 B = 1, then show that %3D 8 15 [4] (i) (AB)-1 = B-'A-1 (ii) (AB)" = B" A"…

A: Given that, A=2568 and B=3-25-4. Obtain the adjoint of A and B. adjA=8-5-62 and adjB=-42-53 Find the…

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

A:

Q: Find a and b such that [图-1-8 -27 9. + b 3 a = b =

A:

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: Show that if x > 0 and |x² – 9| < 2, then |x - 3| < 1.

A:

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

A:

Q: (b) If z1 = 1+ 2i, find the set of values of z2 for which (i) |21+ 2| = |21|+|2| (ii) |21 + 22| =…

A:

Q: snip

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

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: A - B2 {3} and {2} CB implies that {2, 3} CA U B. Select one: O True False

A: Given : A - B ⊇ {3} {2} ⊆ B So, A ∪ B = {2,3} {2,3} ⊆ A ∪ B

Q: a₁ = 2, a₂ = 3, an+ 1 = 2an-5an-1 Find as

A:

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: E an= 5an-1 -6an-2 + 57 do = -2, a, = 5 %3D

A: We have given an=5an-1-6an-2+5n5 , a0=-2 , a1=5 Rewrite the relation as. an-5an-1+6an-2=0 So, the…

Q: If an = n+ 3", n> 0 then choose the correct option %3D аз — За2 — ао + 2 - az = 3a2 + ao - 2 %3D O…

A: Substitute 0 for n in an=n+3n and simplify, to find the value of a0. a0=0+30=0+1=1 Thus, a0=1.

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

A:

Q: Find a and b such that -48 26 a ::8 b= 1 = a 1 -2 -2 +b 9 -4 1

A:

Q: (b) If z1 = 1 - i, z2 = -2+ 4i, z3 = v3 – 2i, then evaluate: |21 + z2 + 1 | 21 – 22 +i

A: Givenz1=1-i z2=-2+4iz3=3-2iTo evaluate|z1+z2+1z1-z2+i|

Q: Let A = -[-32-3] and B = (a) Find AB, A-1, and B-1. AB= 5-3 2-1 A-1 B-1 = (b) Show that (AB)-1 =…

A: a)AB=2-2-235-32-1AB=2(5)-2(2)2(-3)+2-2(5)+3(2)-2(-3)-3AB=10-4-6+2-10+66-3AB=[6-4-43]A-1=1AAdj(A)A-1=…

Q: Solve for u. 2u-11u+31 (4-7)- If there is more than one solution, separate themn with commas. U =…

A: This problem is related to quadratic equations and we solve this using root formula.

Q: [2 1] and B= 3 2, then (AB)T is equal If A = 10 -2 7 Option 2 None of these -3 7 -3 -2 10 2 10 7…

A: Given

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, 4, -2 >. Find ( A) 0.BO

A:

Q: 23. Which of the following satisfies 2x² + 5x = 7? i) x=1 ii) x= -2 iii) x= 5 iv) x= 0

A: 23. Given equation is: 2x2 + 5x = 7 We have to solve for x. Then we get, 2x2 + 5x = 7 2x2 + 5x - 7 =…

Q: Let a = . Find Ja]. - 2, 2,1 >. Find lä].

A:

Q: 3 2. If B = 1 show that B? - 5B+7I =0 [-1 2]

A: Given that B=31−12 To show that: B2−5B+7I=0

Q: -2/2] 2 3) If A= and B 2 2v21. Show that A and B commutative.

A: The two matrices A and B are said to be commutative if AB=BA. The given matrices are…

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

A:

Q: 3. Show that a2 + b2 + c2 > ab + bc + ca and using this result show that (a) (a + b + c)2 > 3(ab +…

A:

Q: -(÷) If A = 2 -1 -1 B = find (a) A +B, (b) A - B, 2 -4 -2 -1 (c) 2A - 3C, (d) 3A + 2B - 4C, (e) AB,…

A: Since you have posted multiple questions, as per our policy we will answer first question (first…

Q: The set {[1 2 0 1, [2 0 4 1, [O 4 5 ]}spans R3 صواب İhi

A:

Q: Find A -B x C, (Ax В): (В х) if A%3 2а, — х, а, — 2а, В %3D 4а, + x,а, + 2а, and с 3 -âx + ây – x3â,…

A: see the attached image below

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

A:

Q: (a) Prove that : (a-1)² a²+1 a (6-1)² 6²+1 b (c-1)2 c²+1 c = 0

A:

Q: 3x If 3 2e 5, then find x.

A: We have to solve

Q: * If.4 -2 1 A = -3 5 -1 Then adj(A) %3D 3. 2.

A: 4.find adjoint of matrix A

Q: Assume that u- v = 7, ||u|| = 3, and ||v|| = 3. What is the value of 5u- (9u – 7v)?

A: Given, u.v = 7  u = 3    and   v = 3   We have to find the value of 5u.(9u-7v)

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

A:

Q: Let →a=⟨−3,−1,−4⟩a→=⟨-3,-1,-4⟩ and →b=⟨−4,1,−5⟩b→=⟨-4,1,-5⟩. Find →a×→ba→×b

A:

Q: . Find u. v, v. v, ||u||², (u v)v, and u (5v). =(2, 4) u= (3, -3), V =

A: Given vectors are u = 3, -3,  v = 2, 4

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

A:

Q: Let a = (– 3, 3, - 1) and b = (– 2, 3, – 5). Find å x b.

A:

Q: Q6/ If a = (3,1, 2) , b = (-1,1,0) and c (0,0, -4), show that a x (b x c) # (a x b) x c %3D

A:

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: 1. Find all numbers z such that Az' + Bz2 + Cz = D [2 4 2 A = 2 4 2 1 B = 3 1 - 2 3

A: Given A = 242131B = -1111-2-1C = 242131D = 1-1-1-121 Clearly C=AD=-B

Q: Hw/ Findo(2+3i).(6-2 i),@ (3+j2). (4-j5) O 13+j4).(3-ju)

A: It is Complex number problem.

Q: Find |AI, IBI, AB, and IABI. Then verify that |A||B| = |AB|. -3 1 A = [ ], B = [ 11 ] 9 -3 -1 (a)…

A: