2) Let A be 51 4 1 Compute: -1 T A (i) A² (ii) è¹_ (iii) (4²)`¹ (iv) (4²¹)² (v) A A² tr(AA¹) (vi)

Q: 1. Let A= B = and C = 4 0 05-2 -6 5 -2 2 and 3 =. Compute the following (a) A+B (b) B' +C (e) C (d)…

A: Introduction: When we change the rows of a matrix into columns and columns into rows, as a result,…

Q: التاريخ : 2 We can rewrite axt(1-d)y-xo. as follows @q (x-x₂) + (-a)y 2 (x-y)- (X-X₁) a(x-X ₂) +…

A: Using the property of inner product. In question #2 , if the metric is induced by inner product then…

Q: (1) (A × B) U (B × C) (2) AX (BUC) C = {9,10}, B = {7,8} , A = {4,5}

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Q: 1 -1 0 1. Let A=(23¹), B(4). 3 -5 (a) Compute AB and BA. (b) Compute A + B and B + A. (c) If c = 3,…

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Q: (15) If X-exp(1), then (a) 2X-exp(2) (c) 2x~exp (¹) O a O b O C Od (b) 2X-X² (2) (d) 2X-G(2,1) is

A: Given that X~exp(1) then  We have to find 2X follows which distribution:

Q: | 0 0 1 1 1 00011 0 0 0 0 1 5 (If the arithmetic for computing an entry involves huge powers, you…

A: As per bartleby guidelines we are allowed to do maximum of 3 subparts

Q: H.w Exl Let f(x)= 4x+2X+243and go)=3x+3x+3xx +4, where 2. t. f(x),900€75LX] Compute POX) +g (x).and…

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Q: (x – 2)²(x+3) (x - 1) (x+2) 6) Let R(x)

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Q: Let A = 2 3 4 1-3 5 Find the following: (a) (DA)T and B = 1 5 2 -1 0 1 3 24 and C= (b) 2C+C² 4] 6 -2…

A: The matrixes are :The main aim is to find :a) b)

Q: Ex: 5 R T Ex: 5 R (ED) -¯¯ T (ED Т 4 -2x1x₂x3 x1 + 2x3 Ex: 5 Ex: 5

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Q: 6 - 1 2 Compute A - 31I, and (312 )A, where A = - 5 4 - 5 - 3 1 2

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Q: In(x-1) 33 Differentiate with respect to x. 2x + 3

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Q: (b) Determine if each statement below is true or false (VX)(K(X) ⇒ L(X)) (3X)(J(X) V-L(X)) (VX)…

A: Let's evaluate each statement:1. (∀X)(K(X) → L(X)): This statement is true if for every value of X,…

Q: LET fCe) =12-31.. If Find: (a) fCu) え40 (b) ) fcn) it n z5

A: topic - functions

Q: Find the equations of the asymptotes of R.

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Q: Compute 5f – 7g, given that f(r) - and g(z) - e. -1) "(z-1) Se

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Q: (8) IF: A=i+j+ k, B = i +2j - 3k Find A-B, A.B, 2A.3B, A.B, (A+B). (A-B)

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Q: n2 1 SHOW ALL OF YOUR WORK. 3. an = 2n +1 2n + 1" (а) Find aj, а2, аз, а4. 3 (b) Compute > a;. i=1 4…

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Q: Q.29 Expand the following: (i) (4a– 2b–3c) (ii) | 2p -3 || 2p 1 y+-z (iii)

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: This work aims to investigate the equilibria, local stability, global attractivity and the exact…

A: Given equation is as follows: un+1=un-1+un-1un-5un-3-un-5,  n=0, 1, ...............(10) The solution…

Q: Let H = {(1), (12)(34), (13)(24), (14)(23)}. Find the left cosets of H in A4 (see Table 5.1 on page…

A: Given H = (1), (12)(34), (13)(24), (14)(23) in A4 H =4and A4 =4!2 =12 So , Number of distinct left…

Q: Given Ā =, B =,č = (a) Compute Ā· (B + T) (b) Compute A · (B × C)

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Q: 3. Compute |(1+ i)(1 – i)(1 + 3i)| .

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Q: The residues of f(z) O-4/9,-4/9 O-4/9, 4/9 O 4/7,4/7 O 4/9,-4/9 O 4/9.4/9 4z (z − 1)(z + 2)²

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Q: Q9. (a) (i) Calculate (2 + i√5)(√5 - i). (ii) Hence verify that (√5 - i) is a root of the equ

A: (a) The given expression is 2+i55-i Multiply the terms in the given expression…

Q: If Z1 = 4 + 5i and Z 2 = -1 + I,  express in the form a + bi  (i) Z1 + Z2   (ii) Z1 – Z2

A: Formula used  sum of two complex number is given by  (a1+b1i)+(a2+b2i)=(a1+a2)+i(b1+b2)

Q: Determine the main base function as one of f(x) = x, f(x) =x², f(x) = Vx , or f(x) = -. 1 а) h(x) —…

A: A)h(x)=x-7The function h(x) is obtained byvertical transformations of 7 units downof f(x)=xThe base…

Q: -1 1 0 B 2 4 4 0 3 2 1 1. Let A= and C Let a =4 05 -2 -2 -6 5 -2 2 and 3 = Compute the following

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Q: (1 2 43) 32 1. IF A = THEN (A) (B) (X Y) Z W

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Q: 1 2 -1 1 0 -^-3---[+49] B = 2 -2 1 8. Let A: (a) AB (b) BA (c) ABT Find the following or explain why…

A: Since, you have posted a question with multiple sub parts, as per guidelines we are supposed to…

Q: 1. (а) 52x $* (b) 3' x 32 - 5 2. (a) k* x k? (b) m³ x m 3. (а) у к (-у") (b) -x (-)

A: Given: 1.(a)52×56  (b)33×332.(a)k4×k7   (b)m5×m9   3.(a)y2×(-y10)  (b)(-z3)×(-z4)

Q: Evaluate L{(t²+ 4)e³t} 2(2s² – 12s + 19) а) 2(2s² - b) 12s + 19) (s + 3)2 (s – 3)2 (2s2 – 12s + 19)…

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Q: Let A = {a, b}, B = {x, y}, C = {x, z}. а) (6.1 #32b) Find P(A x B). a

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Q: (e) [ - V TVT - 1 dr

A: to evaluate the integral.