(a) Show that if a > 0, then 1/a> 0 and 1/(1/a) = a. (b) Show that if a

Q: What is the value of z that makes the following true? 10 2ェ -1 4 I + 3

A: The given equation is 4x+3=102x-1

Q: 1 y Let A = [1 1 2 0. and %3D -1 2 B = -1 0 Find 1 3 W AB

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Q: Show that if A is square, then |detA| is the product of the singular values of A

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Q: Ifb+c- 2a, c+a – 26, a +b – 20 ,1 are in A.P., then prove that are also in A.P. a a b c

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Q: a+b 2 If 5 6 2 find the values of a and b ab 5 8

A: if matrix are equal then crossponding entries will be equal

Q: O Find Adi A if A= [5 2 1. 3. 4 6 3 2 3 5 4 1 hnd Adj A if A=

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Q: evaluate (1 – 2i) – (-3+ 4i) O V13e-0.983i O 2V13e -0.983i A O 2 13e0.983i O 13/2e0.983i

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Q: Determine how AABC was translated. ...

A: We can use the graphical translation in order to solve the given problem.

Q: 2-j5) Show that JA -25 (1+j2 \3+j4 = 57 + j24 - 2

A: the given equation is -2521+j23+j4-2-j5-j=57+j24 consider Left hand side…

Q: O Determine rand s so that, 3.

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Q: Let V4 = 4 V2 = V3 = -2 Pi -2 P2 2 2 and S = {v1, v2, V3, V4}. Determine whether pl and p2 are in…

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Q: Solve this proof A∪(B∩C)=(A∪B)∩(A∪C)

A: Step 1:We have to show that, for three sets A,B and C:A∪(B∩C)=(A∪B)∩(A∪C)the above rule is called…

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: Find a + b, 9a + 3b, Jal, and la - bl. a = 8i – 4j + 3k, b = 5i – 9k a+b = 9a + 3b = lal = la - b| =

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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: Reduce (1+j)?/(1-j) to the form a+jb. a. others b. -1-j С. 1+] d. 1-j е. -1+j

A: 1+j21-j×1+j1+j=(1+j)31+1=j3+3j2+3j+12=-j-3+3j+12=2j-22=j-1=-1+j

Q: 1 -1 A = -1 2 -1 0 -1 1

A: Answer is in next step

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

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Q: Find BA. A= BA= 0 -:] 7 -1 -3 0 -3 -5 -4

A: Finding the product of matrices.

Q: Let à (6, 7, 4) and 6=(3,2,2). = (a - b) × (a + b) i

A: We are given that, a→=6,7,-4, b→=3,2,2 We have to find: a→-b→×a→+b→

Q: Let a,b be two real numbers and define a*b=ab+a+b. What is the inverse element for 2? O -2/3 O -2 O…

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Q: If a = (2, -1, 3) and b = (2, 2, 1), find the following. a x b = b x a =

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Q: Find the value of k that satisfies the following equation:

A: Given: detb1+c1b2+c2b3+c3a1+c1a2+c2a3+c3a1+b1a2+b2a3+b3=k·deta1a2a3b1b2b3c1c2c3   To determine: The…

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

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Q: 9+13+17+ 21+000 + 65 = Σ B₁ where n=1 A= B =

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Q: Let U = R, A =[-6, 3), B = (-1,5), and D = [-7, 1]. Find (i) AN Bº (ii) (BUD)e

A: We use De' Morgan's law and union, intersection and complement of set to answer the given question.

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

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Q: Given that (AB) = 256, (aB) =768 ,(Ab) =48 and (ab) =144 find whether a and b are associated or…

A: To conclude, if the attributes 'a" and "b" are independent, the formulated Yule's Coefficient of…