Question 9: Find conditions on a, b, c, and c such tha commutes B if a b A = [] and [-1-1] 41 B c d =

Q: Let A = 0 -5 1 C. A-1 a. det (A) b. 7A + 5I = || d. AB = - 2 - 3 0 = e. BT AT = -5 1 – 1. and B = 16…

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Q: A B 30 find be

A: In △ABC, b = 30∠A = 30°AB = BC = x (assume) To evaluate: The value of x

Q: find a if A=8a

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Q: [1 ㅇ 1 Let A = 0 -1 %3D Lo ㅇ -1] a. Compute A² and A3. b. What is A1019

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Q: dx. Evaluate J 2x²+3x+1

A: We have to evaluate the ,  I=∫12x2+3x+1dx

Q: Given A = -1 0 22]₁ compute 3A

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Q: Let Find M13 and C13. M13 = C13= ND MI A = -1 -3 0 0 7 1 8 8 9 4 5 0 -6 7 -6

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Q: If m ∠ D R C = ( 5 x + 42 ) ∘ and m ∠ C R A = ( 2 x + 75 ) ∘, then x =____?

A: Given,         ∠DRC=5x+42° and ∠CRA=2x+75°

Q: Let B = [b1, b2, b3] = -1 -1

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Q: Let an = an-1+ an-2 with ao = 0, a1 = 1. Show that an is even iff ( if and only if) n is a multiple…

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Q: 1 -1 i If c+ 0, find the inverse of 2 -1 2 in terms of c. 2

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Q: Let w be defined as 2 more than the number of digits in the integer w. For example, 15 =4(2 digits…

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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: . Write (12)(13)(14) in the form æ(12), where a E A¸. Write (1234) (12)(23), in the form a(1234),…

A: Given, (12)(13)(14) and we have to write this in the form alpha(12), where a in A4. Similarly, write…

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: Find a and b such that a = 9 = 0 - a -1 +6 10 6

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Q: Suppose the multiplication cx is defined to produce (cx1, 0) instead of (cx1, cx2 ). With the usual…

A: The multiplication cx where x∈ℝ2 is defined as cx=cx1, 0 because x=x1, x2 where x1 and x2 belong to…

Q: 7 1 Let A = and D = -7 -3 -3 -7 Find A-D. A - D = |||

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Q: a a + b Determine all values of a and b so that belongs to а 1 3 1 Span 1

A: We have

Q: Given A=[1−5  1-3] compute 5A

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Q: Suppose an = 5an-1+4an-2 – 3an-3 and a4 = 22, аs — 127, and ag = 717. Find a1, a2, and аз. ai = a2 =…

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Q: (b) Let A and Bị be independent; similarly, let A and B2 be independent. Show that in this case, A…

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Q: Show that A × B ≠ B × A, when A and B are nonempty, unless A = B

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Q: 2. Find the following elements in Z₁9: a. 13 X19 17 b. 13 +19 17 c. -12 (the additive inverse of…

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Q: Let A = and B = and [1 - [. C = -1 -3 -2 5 оооооооооо 38 -7 -2 -9 1 -1 -3 -8 0 -2 6-6 then which of…

A: Given:A=-1-3-25B=38-7-2C=-91-1-3-80-26-6A(rows=2,columns=2)B(rows=2,columns=2)C(rows=3,columns=3)The…

Q: 6. b. a. does not exist Find the inverse of -1 -1 Ed -4 نما 3 -4 -1 1 if it exists. C. 1 1 B 4 3 d.…

A: Given that the matrix 3-1-41

Q: 3) Find integers x and y such that 13x + 15y = 1.

A: We see, 15 - 13 = 2              => k(15 - 13) = 2k for any integer k              => 15 k -…

Q: is called the multiplicative identity. • 0 -1 • 9 • 1

A: The multiplicative identity is 1because multiplying a number by 1 leaves it unchanged . If a is any…

Q: Show that if we make the change of variables =x – ct and n =x + ct, then, as in (16.7), a?u ,a²u a…

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Q: Given that A=6-j1 and B=2+j3, find A*B

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Q: onditions, if any, must be set forth in order for a + b to be equal to n(A U B)?

A: In this question, the concept of Set Operations is applied. Set Operations The concept of set…

Q: [1 2] If A = , then the adj A is 3 7 Select one: O None of the others 7 -2] -3 . 1 7 21 -3 -7 -2 -3…

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Q: 2. Determine all values of x - y when x and y are integers such that x = 360 + y².

A: The given equation is. x2=360+y2x2-y2=360x+yx-y=360 Since it is given that x and y are integers, so…

Q: Let 0 0 1 2 1 10 01 b₂ 2 -1 1 0 0 1 b3 Let x satisfy Ax = b. Which of the following is the…

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Q: Find inverse of a mabrix by guan jordan mtel 3. 20 3. 230.

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Q: 6. Show that the following identity is true: 3x + 2 5x – 2 5 4 + 7 10 = 32 13x 20

A: Here we have to find the value of x.

Q: [0 1 -1 Let B =50 3 , then det (2B) = 13 0

A: Given:

Q: Compute x3 in two ways: by computing x, and x₂, and by computing P³ 0.1 0.2 -~8 0.9 0.8 -0₁ ₂2-0…

A: The given matrix is, P=0.10.20.90.8,x0=10. The value x3 was obtained from: Now, x1can be computed…