Solve the given SLE using LU-Factorization X, + x, +x3 = 3 X, - x, +4x, = 4 2x, +3x, – 5x, = 0 %3D

Q: The diagonals of square LMNP intersect at K. Given that LK=1, find MP. 1 P MP = %3D

A: We are given the figure of square .

Q: If DB bisects Z CDA, then Z? = L_?_.

A: Given is that DB→ bisects ∠CDA. the bisection means dividing an angle in two equal parts.

Q: Solve the following SLE by using ERO: Q2 х + Зу — 2z Q1 х — 2у — 10 Зх + у 3D 9 - —х — у +4z 2х + у…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The diagonals of square LMNP intersect at K . Given that LK =1 , find mZLMK . M 1 N MZLMK=

A: Diagonals of a square are equal and bisect each other at 90°. Implies, LK=KM=1 Let, angle LMK = x

Q: Given AJKL, find mZL. K L. (13x – 9)° (4x + 11)° J (2x + 7)° O 68° O 58° 29° O47

A: We know that sum of angles of a triangle is 180o. Therefore, in the given triangle sum of angle J ,…

Q: a, Find at2

A: Given :…

Q: The diagonals of square LMNP intersect at K. Given that LK= 1, find MP 1 P MP =

A: We have to find MP

Q: In Z[V3], the element 2+v3 is:

A: Unit Given element is a unit

Q: The diagonals of square LMNP intersect at K. Given that LK =1, find m/LPK. P

A: Given ,  The diagonals of square LMNP intersect at K LK = 1  We have to find m∠LPK

Q: Solve the given SLE using LU-Factorization X, +x, +x3 = 3 X, - x, + 4x; = 4 2x, +3x, – 5x; = 0 -

A:

Q: How many elements are in Z5[i]/<1 + i>?

A: Given Data The expression is Z5[i]/<1+i>.   Consider the Z5[i]/<1+i> in the form of…

Q: For which values of a, b, and m does x + a = b have a solution in Zm?

A:

Q: Use Naïve Gauss elimination to solve 20 x, +15x, +10 x, = 45 — 3х, — 2.249 х, + 7x, %3D 1.751 5x, +…

A: The given system is…

Q: Find the joint CDF, F(t, s) for all t e R and s E R.

A: Given joint density function of x and y , we need to find cumulative distribution function CDF .

Q: 3. Theorem ZG =. 101 H

A:

Q: If AJKL ~ ANML, find JL. K 4х - 12 M 24 L. N 21 2x + 9 -

A: Both the triangle is similar. So, the ratios of sides are same. That is: KLJL=MLNL⇒4x-122x+9=2421

Q: Obtain the general solution   mydx = nxdy   Ans. xm =cyn

A:

Q: Find the pmf p(x) of X, the number of casts needed to obtain that first six.

A: Let x be the number of times die thrown until 6 appears. Probability that 6 appears on top is 1/6…

Q: If Cov(Xm, Xn) = mn − (m + n), find Cov(X1 + X2, X3 + X4).

A:

Q: 2. Solve the given SLE using LU-Factorization X- X, +4x, = 4 2x, +3x,-5x, = 0 .

A: x1+x2+x3=3x1-x2+4x3=42x1+3x2-5x3=01111-1423-5x1x2x3=340Now, A=1111-1423-5, x=x1x2x3,  B=340

Q: 10.) PN= ON: N MN- LV=U6

A: As per our guidelines, we are allowed to answer only one question. So I'm providing answer to only…

Q: . Compute CNF (NNF (IMPL FREE ((p V q)->r)>((p>r) V (q→r))))

A: Given, CNFNNFIMPL FREEp∨q→rp→r∨q→r Now, solving the given statement. CNFNNFIMPL…

Q: 2. Solve the given SLE using LU-Factorization X, + x, +x3 = 3 X, - x, +4x; =4 2х, + 3x, — 5х, %3D 0

A:

Q: Given: JV5x² - 3 xdx. If we let u= 5x - 3, which of the following u-substitution formula is…

A:

Q: Evalute the following Zx Pnessionfon n=3 n-2 sutb

A: We have to find the value

Q: Find the Re and Im parts of exp(z?)

A:

Q: With two groups, the square root of Fis equal to: O 1.0. Ot. O 0.0. 2t.

A: F ratio is the ratio of two mean square values. ANOVA means analysis of variance.

Q: 3) Find the mZT= %3D

A:

Q: Compute [GL2 (R): SL₂(R)].

A: To find: The value of GL2ℝ : SL2ℝ .

Q: Solve the given SLE using LU-Factorization X, +x, +x3 = 3 x, - x, + 4x, = 4 2x, +3x, - 5x, = 0 %3D…

A:

Q: 2. Solve the given SLE using LU-Factorization X, + x, +xz = 3 x, - x, +4x; = 4 2х, + 3x, — 5х, %3D0…

A:

Q: The diagonals of square LMNP intersect at K . Given that LK=1, find mZLPK. M 1 N MZLPK = |

A: Square has all its sides and each angles are 90°

Q: The diagonals of square LMNP intersect at K. Given that LK =1, find MP. 1 MP =

A: This question is about application of square properties

Q: Consider a LU factorization of -2 1 3 A = 1 4 -2 -5 as A=LU. Then L2,1 and U1,1 are respectively…

A:

Q: is a linear combination of vi = V2 = V3 = 3. ylgn ihi 521

A:

Q: Solve the given SLE using LU-Factorization X + x2 + x3 = 3 X, - x2 + 4x, = 4 2x +3x, — 5х, %3D 0 |

A: Given SLEx+y+z=3x-y+4z=42x+3y-5z=0convertit in to matrix form1111-1423-5xyz=340convert it in to…

Q: 6. Find Ar for A = and z= Az =

A:

Q: The diagonals of square LMNP intersect at K . Given that LK=1, find mZMKN. M N MZMKN=

A: I have given an answer in step 2.

Q: 1. Given the systems of lir

A: Given,           5x1-2x2+3x3=-1-3x1+9x2+x3=2    2x1-x2-7x3=3

Q: 2. Solve the given SLE using LU-Factorization X, +x, +x3 = 3 X, - x, + 4x, = 4 2x, +3x, - 5x, = 0…

A:

Q: Consider a LU factorization of 3 A = 6 as A=LU. Then L2,1 and U1,1 are respectively equal to

A: solution:-

Q: 10. If mLTSV = (6x + 17) and mSV = (15x + 13)", find mSUV. %3D T

A: Property used is (11) An exterior angle of a triangle is equal to the sum of the opposite interior…

Q: Solve the given SLE using LU-Factorization X, + x, +x3 = 3 X, - x, + 4x3 = 4 2x, +3x, – 5x, = 0 -

A:

Q: Consider R? with the weighted inner product = 2ujv1 + 6u2v2. Then ||(2, 3)|| = a) V13 b) V22 c) V30…

A:

Q: Solve the given SLE using LU-Factorization X, + x2 + x3 = 3 X, - x, + 4x, = 4 2x, +3x, – 5x; = %D

A:

Q: The joint pmf of X and Y are given in the table below: Y X 2 4 27 15 6 15 1 15 3 15 3 15

A:

Q: Find the solution of the following IVP using the characteristic method : u + uu= y у , и(1,у) %3D Зу

A:

Q: Consider a LU factorization of 3 A = as A=LU. Then L2,1 and U1,1

A: We have to find values given in the question from the matrix.

Q: b) Give a partition which divides I = [1,2] into n equal parts. %3D

A: Consider the Interval  [1,2]

Q: The joint pmf of X and Y are given in the table below: Y X 2 4 2 15 6 15 1 15 3 2 15 3 15

A: Here we have to find the variance V(Y) from the given joint distribution table