Q if you have P, .t= then find appropriate weight matrix by: I- Hebb rule 2- Pseudoinverse rule.

Q: Let a Consicler the matrix 121 4) S23. A=/S. 87.3 Find Miz, Ci2 and M2z Czt

A:

Q: Q: Find 13(ad a)" +A| matrix of + A where A is f size 4x4 Such that IA)=3 a

A: To find the value of 3adj A-1, where A is a matrix of size  4×4, such that A=3

Q: Find the transition matrix (change of basis matrix) from B to B'. Find the coordinate matrix [x]R…

A: If B=v1,v2,...,vn is a basis for a vector space V and x=c1v1+c2v2+...+cnvn, then c1,c2,...,cn are…

Q: Calculate the condition number of the matrix using the Frobenius norm. [1 104 3 (a) Is the problem…

A:

Q: finding the matrix of S 0 T (a) by direct substitution and (b) by matrix multiplication of [S] [T].

A: Finding the matrix of  S∘T (a) by direct substitution  (S∘T) x1x2 = STx1x2                        =…

Q: A matrix M is said to be orthogonal if MMT=MTM=1. Let S be a skew-symmetric matrix and I the…

A: I have the definition of skew-symmtric matrix, and some properties of matrix algebra.

Q: Find the steady-state vector for the matrix below. 0.4 0.1 0.6 0.9 The steady-state vector is (Type…

A: To find - Find the steady-state vector for the matrix below.

Q: Let I be the identity matrix of nxn. Please Compute the matrix fuunctions COST I

A:

Q: x be the Let A is an invertible n xn matrix, and let b be a vector in R". Let x = solution to Ax =…

A:

Q: Solve for the matrix X if AX(D+BX)~' = C. Assume that all matrices are n X n and invertible as…

A: Given that AXD+BX-1=C Pre-multiply by A-1 A-1AXD+BX-1=A-1CXD+BX-1=A-1C post multiply by D+BX…

Q: Find all 3x3 matrices for which the homogeneous system has a solution space as the line x = 2t , y =…

A: Given information: The homogeneous system has a solution space as the line x=2t , y=t, z=t2.…

Q: If A is an q x n matrix with orthonormal columns & W be the column space, then AA"y Projwy for all y…

A: Given that A is a q×n matrix with orthonormal columns. Hence there are q rows and n columns in A.…

Q: Find an LU factorization of the matrix A (with L unit lower triangular). -2 0 4 A= 4 3 -3 4 18 30 L…

A:

Q: Determine whether th e given matrix is orthogonal. If it is, find its inverse

A: Given: To Find: (a). Whether the matrix is orthogonal. (b). If orthogonal find it's inverse.…

Q: Find the covariance matrix of Y, Y2 and Y3

A:

Q: ule for the technology matrix and demand vector given below 6. D=7

A: Given, A =0.400.21.90.80.70.30.10.2 D=672 X =x1x2x3

Q: (L[u],v ) = ( Au, v)) = (Au)"C v = u"A"C v, (u,L*[v]) = (u, A* v) = u"MA* v. (9.5) Comparing these…

A: Given: Lu,v=Au,v=AuTCv=uTATCv u,L*v=u,A*v=uTMA*v   To prove: A*=M-1ATC

Q: 8. For the column matrix v=(v₁) we have explain then: (VA); =Vkaki

A:

Q: disprove (with a counterexample): If a real matrix A² = I (the identity), then A = I 8. Prove or

A:

Q: Ife matrix A has orthonormal columns, then A'A = I

A: True :

Q: Find an SVD of the matrix. 7 1 A = 0 0 4 8 Give an SVD of matrix A below. A =

A:

Q: find the inuerse matrix of motrix 1 2.Use +he Laploce expan si on of the column. 4 0 1 6 0 3

A:

Q: (a) If the columns of annxn matrix A are linearly independent as vectors in R", what is the rank of…

A:

Q: etermine if the matrix is orthogonal. If it is orthogonal then find its inv 2

A:

Q: 1- nullspace af now equivalent to the for the 1 1- 2. C. that puy -2 B. assume matrix pand Let A

A:

Q: Find the coordinate matrix of x relative to the orthonorm x = (10, 20, 5), B = {(÷, 0). (- ÷ [x]B =…

A:

Q: How many rows and columns must a matrix have in order to define a mapping from R5 into R7 by the…

A:

Q: If A is an q x n matrix with orthonormal columns & W be the column space, then AA" y = Projwy for…

A: If A is an invertible qxn matrix with orthonormal columns & W be the column space, then the…

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: Quèstion 14 Which matrix is singular? 6 -3 21 2 6 3 o( 2 6 2 6 3 1

A: topic - singular matrix a matrix is singular if its determinant is zero

Q: Find the steady-state vector for the matrix below. 0.7 0.2 0.3 0.8 The steady-state vector is (Type…

A:

Q: Find the steady-state vector for the matrix below. 0.7 0.2 0.3 0.8 0.4 The steady-state vector is…

A:

Q: Find the linear combination 3s1 + 4s2 + 5s3 = b. Then write bas a matrix vector multiplication Sx,…

A:

Q: 3 b Find the value of b that make the matrix A singular. 3 5 b =

A: Note : According To our guidelines we can solve only first question and rest can be reposted.Thank…

Q: Find Hessicn matrix ? 2.

A:

Q: Solve for the matrix X if AX = B. Assume that all matrices are n X n and invertible as needed.

A: Given that, AX=B Assume that A is of order n×n such that A is invertible. Hence, A-1 exist. Since,…

Q: Find the LU-factorization of the matrix. (Your L matrix must be unit diagonal.) 1 0 LU%=D

A:

Q: Find the mass of lamina enclosed by y = ax² and y = c if the density of lamina at point Q(x, y) is…

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: a For what values of a, b, and c is the matrix -a invertible?

A: For no values of a, b, c the given matrix is invertible.

Q: (a) Show that if A is a square matrix with linearly independent columns, then A+ = A -1• (b) If A is…

A:

Q: Let B={ 3 and = are bases for R². (a) Find the change-of-coordinates matrix from B to 5. (M) If [x],…

A:

Q: A. [oa] a) Let A = 0 4 Find a find matrix P) diagonal matrix D so that PAP=D for some invertible…

A:

Q: {(: ;) :*vez} : х, у Є Z y Let T' = Under the usual matrix operations of addition and…

A:

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: A(t) is a 2 × 2 matrix of differentiable functions and X(t) is a 2 × 1 column matrix of…

A: Let The matrices A(t) and X(t) be A(t)=A11(t)A12(t)A21(t)A22(t)X(t)=x1(t)x2(t) The product rule of…

Q: Solve for the matrix X if AX(D+ BX) = C. Assume that all matrices are n x n and invertible as…

A: