QI B) For frame F, find the values of the missing elements and complete the matrix representation of the frame. n og ag Px ly o, dy Py 0z dz Pz [0.433 b 0.75 0] 0.25 0.866 F = F = a 0.5 1 1]

Q: I. State whether or not the given matrix is (a) upper triangular, (b) lower triangular, (c)…

A: a) A matrix is upper triangular if all the elements below the main diagonal is zero Hence it is not…

Q: (a) Find the Jacobian matrix ду əx where y -B I2 I3 3+11 2+2r2 and x = 1+373

A: (a) Given y=3+x12+2x21+3x3 and x=x1x2x3   To Find: The Jacobian Matrix ∂y∂x

Q: 2. Given matrix M below, sin² A sin A cos A cos² A] M = |sin? B sin B cos B cos² B Lsin² C sin C cos…

A:

Q: (a) Find x, y, z and B, where Го 3 A = 1 -3 y 4 4 ; A² = 1 ; c(4+1)+3BT = 2A and I: unit matrix

A: (a) To Find: x, y, z, and B, where A=0x31-3yz44;   A2=I;     cA+I+3BT=2A and I:unit matrix

Q: Suppose A is a Skew-Hermitian matrix and (a+jb)A is also skew-Hermitian matrix, then O a. a=-1 b.…

A:

Q: il, ij k – j, j> k 3, m = 3 andr = = 3 let AB = C = [cik] . Then which of the following is the c22…

A:

Q: 2 . B = 6 : J.c = ( 1. and V = |1. What is the sum of the entries of the [1 Let A %3D 4 5 matrix…

A: We want to find sum of entries of given expression

Q: (a) Find x, y, z and B, where 10 x 3 -3 y 4 4 A = 1 ; A² = 1 ; A² = 1 ; ; c(A+1)+3BT = 2A and I :…

A:

Q: G ). A and that h(T) = T² – 2T – 7, find h(T). (4) Given matrix A = %3D

A:

Q: Possible values of x and y that would make the following matrix A singular, are: 4 -2 A = 2 -1 x y…

A: A matrix is said to be singular if determinant of matrix is zero. Let us find the determinant of…

Q: The matrix below is in echelon form.         x   y   z   u      1   0   0   0     8 0   1   4   5…

A: Given echelon form is, x  y  z  u  1  0  0  0  8 0  1  4  5  8 To find the solutions of the…

Q: 3. Consider the simultaneous equations fi(z, y. 2) = (ry- - 1) = 0, f2(x, y, 2) = (xy² +z2-15y) = 0,…

A: It is given that, f1(x, y, z)=(x2y-z3-1)=0f2(x, y, z)=(xy2-xz2-15y)=0f3(x, y, z)=(2y2+z2-6)=0 The…

Q: Let Lin{u} =U, Lin{w} = W, where %3D %3D 3 u = w = Mark only correct statements. O a. The matrix of…

A:

Q: which of the following M atrices is reduce row echelon form 1 0 31 A = 0 l1 [1 B = 0 1 0 0 01 0 31…

A:

Q: Let a Consicler the matrix 4. A= S23 87.3. Find Mz, C1z and Mzz, Czz

A: Given,A=214523873If A=a11a12a13a21a22a23a31a32a33ThenM12=a21a23a31a33 And C12=(-1)1+2M12 And…

Q: Let A, be Hermitian matrix witho (A) = 1,-1 and B, is a Hermitian matrix with o (B) = 0,-2, then one…

A: We have to solve given problem:

Q: The row echelon form of matrix A is given by: 1 2 3 4 0 0 1 2 Lo o o o Then a basis for the…

A:

Q: Consider the system of equations 2x + 3y – z = 0, 2y + z = 1, x – 4y = 2. Which of the following…

A: The system of equation is  2x+3y-z = 02y+z = 1x-4y = 2

Q: i, ij k - j, j>k 3, m = 3 and r = 3 let AB = C = [cik]. Then which of the following is the c22 entry…

A: First find each element of matrix using given function. Than multiply two matrix and find C22…

Q: AE4.6 Show that the pair (A, C) is observable if and only if the pair (A-LC, HC) is observable for…

A: Given that,   The pair A,C   n×p matrix L and any non-singular p×p matrix H.  Then , A-LC,HC is…

Q: i- j,i si i+ j,i > j 2j +k, j< k k - 1,j 2 k Let A = [a]mxm, aij = and B = [bx]mxr, b* = be given.…

A: We have to find the element of matrix C.

Q: 4. Find the coordinates of the vertices of the rectangle WXYZ with coordinates W(0, - 7), X(2, 2),…

A: Here we use the properties of transformation rules of function. In the dilation of a triangle we…

Q: (b) Explain why in general, if u = [u uz] is a row of length 2, A = a1,1 a1,2 [@2,1 @2,2] we always…

A: Answer

Q: condition must a and b satisfy for the matrix to be orthogonal? a – b b+a

A: We find the condition on a and b

Q: 2- For asymmetric matrix 3x3 matrix dij =0 if, a) i+j=0; b) i-j=0; c) i-j=1. 3-For a symmetric nxn…

A: Symmetric Matrix

Q: Q: Find I 3 (adj cA)"+ A) where A matrix of size 4x4 such that IAI=3 is a that sotis

A: By using some basic properties of matrix we can solve it

Q: Q 1. For frame F, find the values of the missing elements and complete the matrix representation of…

A: The expression can be computed by using the general matrix and equating the matrix element to zero…

Q: The Harmitoniat is represented b The matrix H- (a

A: In this question, we have to find the eigenvalues and eigenvectors for the given matrix H=αϖ0ϖα000α…

Q: -1.T If A is 3x3 nonsingular matrix such that AA' =A'A and B=A A' then BB' = Select one: (B*," b. в…

A:

Q: [1 2 1] A = 2 0 2 l2 3 kl give matrix. [A| = 1 , k=?

A:

Q: نقطة واحدة Show element equal to 18 in the * matrix Y Y= 2 5 7 4 8 3 10 20 30 12 14 16 18 Y(18) O…

A:

Q: Given matrix H provides the equation HX = B matrix, since vector B =B (1,2,-2,1), find the vector X…

A: Given that,HX=Bwhere,H=100-i0-1i00i10-i00-1B=(1, 2, -2, 1)T  The vector X is determined as shown…

Q: CMaxs, -) is Q3/Prove lat the Identity element in J. the matrix Au an ai3 eIR I. 923 Lazi a32 a33…

A:

Q: Torus shaped water tube is designed with the volume 750 in, if you our given the volume and the…

A:

Q: . Matrix A=(a)nxn is called strictly diagonally dominant, if |au|> Σ |a₁|, i=1,2,...,n. j=1, j*i…

A: As per the question we have to prove that if a matrix A is strictly diagonally dominant then it must…

Q: Find the rank and nullity of the matrix; then verify that the values obtained satisfy Formula 4 of…

A:

Q: Find the change-of-coordinates matrix from B to C. Find [x]c for x = - 2b, +4b2. Use part (a). %3D

A: Transition matrix

Q: i- j,i j k – 1,j 2 k m = 3 and r = 3 let AB = C = [cik] . Then which is the following is the c23…

A: Answer to the question as follows:

Q: P projects onto the C(A), then I- P projects onto D a. C(AT) O b. N(A) P. N(A") O d. I-Pis not a…

A: It is given that P projects onto the column space A, C(A).

Q: Let O be a F.M. of the system Y'=AY on I, where A is 2×2 matrix. Then, . is also a 2 F.M. a) True b)…

A:

Q: Let the matrix below be Anti-symmetric. What is x + y+z=? 0 0 A = y X 2 1 a) O 0 1 b) c)O -1 2 d) -2

A: For Anti-symmetric matrix ,  AT = -A

Q: hatate the following triangle uith Q= 45° by the accemate diagram and I final matrix 12 C50,50)…

A:

Q: The row echelon form of matrix A is given by: 2 3 4 0 0 1 2 Lo o 0 0 Then a basis for the Nullspace…

A: Given matrix is, The row echelon matrix is,

Q: 口 WLJ 18) Which is the product of the matrix? [21 4] x L2] 13 O (8] 41 8 O (6] O [13]

A:

Q: MATRIX A Is axa T ElbENUALUES ARG -3 AルD a FWD CHE EI6EN. VALUES Fere A+3I IS

A: As we know that; If the λ1 &amp; λ2 is eigenvalues of the matrix A then eigenvalues of the matrix;…

Q: Quèstion 6 T(x, y, z) = (3x-4y, 5y+z), then the standard matrix of T is O[3 5 4 -1 3 4 5 -1 None 34…

A:

Q: 2. Given matrix M below, [sin? A sin A cos A cos2 A] M = sin? B Lsin? C sin C cos C cos2 C] %3D sin…

A:

Q: f P,n x n, is a projection matrix and rankP Fni, then we must have P= 1 %D O a TRUE Ob FALSE

A: Projection matrix satisfy the given condition,  P2 = P P2 - P = 0  P(P-I) = 0

Q: Let x = (r1.12) E R? and y = (y.2) E R². i) Find a symmetric matrix A e M2.2(R) such that x" Ax = 1…

A: