(2) [10] Let a;; be the number in the ith row and jth column of the arra -1 ... 1 -1 ... 1 - ... -1 ... -1 2 ... 8 ... ... so that if i < j if i = j if i > j aij -1 2i-i

Q: xo X1 Given the data set X2 X3 and the polynomials ỹo (x),ỹ₁(x), ₂(x) Yo Yı Y2 Y3 comprising the…

A:

Q: Find x, y, z, and w. x y z 8 (x + 7)] = [ (2² (2x - 3) X -1 W (9 + y) -8

A:

Q: (f) 1 x + iy + 1 I-iy

A:

Q: Let A = 12 3 14 0 1 02 -3 0 1000 What are the rank and nullity of A?

A:

Q: Let f and g be permutations. Show that the order of h=fgf^−1 is the same as the order of g.

A:

Q: What is the relations (5)/(8) and (8)/(10) Drag and drop a tern

A: Ok

Q: Let u = Compute the following: ū• v = (1, −5, −1) and v = (-5,2,0). v.u ||ū|| ² - 3 (u.v) (-3ū) v =…

A:

Q: Show dz 4 In= 는I미페 - for a<0. x <

A:

Q: 5. Let f be defined by the floor function f(x) = [] and let S = {-3, -2, -1, 0, 1, 2, 3}. a)…

A:

Q: Find U4,, Ñ4, , if A, = {0,1, 2, .}, A2 = {2,3, ...}, ., An = {n,n+ 1,. %3D

A: For 1st part we have A1 U A2 U......An ={0,1,2,3,.........}

Q: 9. Let X Bin(4,.30), compute a. P(X=0) b. P(X= 1) C. P(X= 4)

A: Given that  Success of probability p=0.3 , q=1-p=0.7 Number of trials n=4 X~binomial (n,p)…

Q: The population of a community is known to increase at a rate proportional to the number of people…

A:

Q: Q4) Given A = 1 -2 1 find the Kernel and 0 2 1 range of A.

A: Introduction: Kernel and range are two important terms related to matrix and linear transformation.…

Q: Find the Polah farm of Z=(-1+)

A:

Q: Verify Mean Value Theorem for the function 3x? - 4x +5 in [-1,1]

A:

Q: 4. Which ones of the following functions are valid CDFs (all have x ≥ 0): (b) 1-exp(-) (0)1-exp(-)…

A: We are given the set of cumulative distribution functions .We have to choose which of the given…

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: Let A =[1 -1]            [2 0] and --->x =[ i]                  [1 + i] . SHOW that Re (A--->x )…

A:

Q: Let S={(0,-1,1),(0,-2,-1),(1,1,2)}.

A: S?

Q: VI. Let f(x)=x²-x²-x+1 on [-1,2]. Find all numbers c satisfying the conclusion to the Mean value…

A: Let fx=x3-x2-x+1 on -1, 2.To find all numbers c satisfying the conclusion to the Mean value theorem.…

Q: & 18) Vaing showj that the idently in

A: Using the identity 1+x2n=1+xn1+xn,                . . . (1) we want to show that 2nn=∑k=0nnk2.…

Q: (9) Let P, Q, R be (a) (¬P VQ) (b) (P mathematical statements. Negate the following statements.…

A:

Q: (-8 1 4 (a) If A = 4 4 7 prove that A- = A' where A' is the transpose of A. 1 -8 4

A:

Q: Prove that (1+i)" + 1(1- i)" = 2m/2*1 nt cos 4

A:

Q: show that the inverse of arotation matrix is transpose,which is also arotation matrix, and it is…

A:

Q: n Show that (") = (,“,) n-r.

A: