Find an invertible matrix P and a diagonal matrix D such that PAP=D. -2 00 A=-6 -2 6 -1 0 -1 3x3 3X3 P =0 D=0 000 0 0.0

Q: If P(A) = 0.5, P(B)= 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is the complement of…

A: HERE GIVEN, p(A) = 0.5 p(B) = 0.40 p(A ∪ B) = 0.70

Q: Consider the points A(2, a,0), B(0,1,B),C(1,1,B) where aand Bare negative real numbers. Find a and…

A: To add or subtract, two or more vectors add or subtract the corresponding components of each vector.

Q: Let a = 6 and b = 6 What is the coefficient of x6y6 in (x + y)a+b?

A: This is a question of counting. One needs to find the coefficient in this fi ite expansion.

Q: Compute A?x and A3x the correct way: ´1 0 () 0 1 A = 3 0 2 0 1 1 1

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Q: 1 t² √9t² - 1 dt

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Q: Is Va + bequal to Va + Vb?

A: Given:Is a+b  is equal to  a+b  ?

Q: find a if A=8a

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Q: Ifv = [ -2, 4], compute and draw 2v, 1/2 v, and -2v.

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Q: Show that Z10 = ⟨3⟩ = ⟨7⟩ = ⟨9⟩a. Is Z10 = ⟨2⟩?

A: We have to find the condition according to the given condition

Q: Please answer in typing format for like

A: Given : For two events A,B∈Ω,(i) P(B|Ac)= 0.1 (ii)P(Bc|A)= 0.8(iii)P(A)= 0.4Where Ω is the set of…

Q: Let B = [-1 1 4 -3] Find -4B

A: Solution

Q: da Use a trig substitution to evaluate x2 V9- x

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Q: Assume that y represents a positive real number. What is the conjugate of Vy - 24?

A: y-24

Q: 1 Evaluate dz, where (i) C is z+ = 2 .2 +1 C

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

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Q: Show that fu,, u,) is an orthogonal basis for R?. Then express x as a linear combination of the u's.…

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Q: Find the slope: O 4/3 O 3/4 O 4/3 O o O O

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Q: Express x XOR y with only AND, OR and NOT.

A: We can write-                    x OR y = NOT (  NOT x   AND   NOT y )

Q: |- 4X

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Q: Let A=(¹). 3¹). Find 3A³2A² + 5A - 12.

A: Given: A=1-123 We are required to find: 3A3-2A2+5A-I2

Q: If P(A) =0.55 and P(A and B) =0.22. A and B are independent, find P(B)=?

A: It is given that  P(A) =0.55  P(A and B) =0.22 Given, Event A and B are independent then, P(A and B)…

Q: Let floo) = 0e 5 and gloo) = 2a19 Detemine Cgof) (x) 2079. %3D %3D

A: Topic:- function

Q: Let a = -27 +53 + 4k. Find a.

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Q: ! = [2, 2, 4, 2, 2] =

A: Just notice the method of writing denominators carefully.

Q: Find the value of (-j)!nj.

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Q: If B = exp(r - 2), what is VxB?

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

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Q: Match these values of r with the accompanying​ scatterplots:: 0.371, 0.997. -0.71, -0.997, 0.71…

A: Given: r=0.371, 0.997, -0.71, -0.997, 0.71 We are asked to match these values with the accompanying…

Q: If P (A) = 0.6, P(B)=0.1, and A and B are mutually exclusive, find P (A or B). P(4 or B) = |

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

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Q: for b find y...

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Q: (2, –1, 3) and b (-3, 3, 4). Calculate 2a – 3b and |a – b|. Clearly separate the Let a calculations.

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