with the p-norm 「さい Is a normed lineur s pace over fiéle cary R with respect to opera tróns addition and standard multiplication

Q: Explain theorem of Principle of Superposition?

A: The Principle of Superposition:

Q: An entomologist writes an article in a scientific journal that claims that fewer than 16 in ten…

A: From the provided information, The sample size (n) = 10000 The number of male fireflies which are…

Q: Let the ordeced two bases of the spaces B be A=- (1,3) (E),L)} and B=fF3,2).(5,1)} ln the case, find…

A: We required to find the transition matrix from base B to base A Which is given follow

Q: x'= -1 -4

A: This is a problem of the system of the differential equations.

Q: Theorem 23. If u, v E Q then we can find integers a, b, d with d > 0 such that u = a and v = d'…

A: By Division Algorithm we know that,               Let a, b be two integers with b>0. Then there…

Q: The following data shows the death cases of COVID-19, x and the number of positive COVID-19 ca: y in…

A: Given data is

Q: 28. Find the unit vector in the opposite direction to 7 –j + k.

A: We will solve the following

Q: Consider the power Serics Ž n^ (x-z)^ n=1 Find the radins of conver genue shat is the intrvel of…

A: Consider the series ∑n=1∞nnx−2n We have to find the radius of convergence and interval of the…

Q: 26 a ba Q(1E) = }a+bV2 / a, be Q4 2.1) Show (K,t,') eld under add. and rmult, of amotmias 2.2) Show…

A:

Q: \text { Let } U=\{1,2,3,4,5\} \text { and } A=\{1,2,3\} . \text { Find } A^{\prime} \text { . }

A: Definition used -                          A'=U-A                It is a set of all elements, in the…

Q: show all th work with correct ans

A: Solution attached.Explanation:Step 1:Step 2:Step 3:Step 4:

Q: Find the The OF element Standard Scalar Product in form (1) in relation

A: Norm of an element abc in relation to standard scaler product in ℝ3 is a2+b2+c2

Q: prob

A: Here use exponential distribution

Q: * The given matices , verify directly thart (RS)* -5*R* and (E) - p*i* 3 i . R= 3i %3D 1

A: The given matrices are: R=123i4, S=3i70, To prove: (RS)*=S*R*.

Q: O Grven A- 131 find beses Aor rowĄ, coLA and null A.

A:

Q: Find diagonal matrix D is similar with A a A =[? -5 And make sure can transtor diagomalizablewith

A:

Q: An urn contains m number of red balls and n number of white balls. Two balls are selected without…

A: Solution-: We have given there are 'm' number of red balls and 'n' number of white balls We want to…

Q: find fundamental set of soleubions cwith d real va lues for

A: Using differential equations,

Q: Prove that that any Sume with TH Convex Polyhedron has two faces of edges number

A: Let F be the face with greatest number of edges ,suppose n. There will be exactly 'n' other polygons…

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: With the help of exomples Show thaat on finite dimensional are equivalent. any two norms Linear…

A: Given: Any two norms on finite dimensional linear space are equivalent.

Q: A2,..., An are normally and independently Y₁, Y2, ..., Yn are also normally and independently…

A: X1,X2,...,XN are normally and independently distributed with mean μ and variance σ2Y1,Y2,...,YN are…

Q: Suppose X-Neg Bin(r=2 ,beta=3) a) Evaluate p_0 b) Use the recursive formula to obtain p_1 ,p_2 ,p_3

A: X follows a negative binomial distribution.The pmf of negative binomial distribution:

Q: Prove that ifx, and X₂ are o-fields, then хід Ха is also a o-field

A:

Q: Jtind the absolute maximun Gnd minimum ualue of He qiun funch on Interval on the Specified f6) =…

A: Given function is fx=2x3+3x2-12x-7 on -3,0 find the absolute maximum and minimum value of the…

Q: Let A ∈ R^n×n. Show that if A is strictly lower triangular (i.e. aij = 0 if i ≤ j) then An = 0. (use…

A:

Q: fx and y are two n-vectors, then prove that 1 1 -+-=1 (Holder inequality) (b) xy, <,, (Schwarz…

A:

Q: Find the norm of (-4,- 1/4,3, 1/3) belong to R^4 w.r.t the Euclidean Inner Product on R^4.

A:

Q: graup Consider a dibedral 2. Du= carb: d=b-(ab)"%=D1> Discuss all passible Commulators 'and verify…

A:

Q: whether the selic) H6 use un appropriate test to determine whether the" selics gilon wnverges or be…

A:

Q: prove that there are Hadamard matri X of order 25 and 64

A:

Q: Use the dddition Rormulas to derive the identitie sinlx-I)= -Cosx

A: Given:sinx-π2=-cosxFormulasina-b=sina cosb - cosa sinb

Q: Show that ([0,1] spack по matric matriz, is complete uniform norm

A:

Q: Question 4 x- X + 3. what is the foge coveryer of the power serres? a) -d <xet b) -1<x1 c) d<x<

A:

Q: Prove that the null space of an mxn matrix is a sub space of R^n

A:

Q: Transcribe the following text in digital format please

A: Binomial theorem is given by:x+yn=∑r=0nCrnxn-ryrlet P(n) =x+yn=∑r=0nCrnxn-ryr =…