H.W:- Find the determinant for the following matrices: [0.1 0.1 -4.3] 6. E =7.5 lo.3 6.2 0.7 answer: E = -11.217 0.6 -1.2
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- Replace the first row of matrix Y to vector b , b=[4 6 8 10]Consider the matrix A=[3 −8 −7 5 −9 7 −15 22 −13 6] a) Copy positive numbers into B b) Copy negative numbers into C c) Find the locations in A where the numbers are between −10 and 10 inclusively Please use matlabMinimize using Q-M f(a,b,c,d,e) = £m(0,1,4,5,6,13,14,15,22,24,25,28,29,30,31)
- 17. Let A and B be two n × n matrices. Show that a) (A + B)^t = A^t + B^t . b) (AB)^t = B^t A^t . If A and B are n × n matrices with AB = BA = In, then B is called the inverse of A (this terminology is appropriate because such a matrix B is unique) and A is said to be invertible. The notation B = A^(−1) denotes that B is the inverse of A.Using MATLAB or Octave Consider the following Matrices: 43 9 74 2 5 6 7 87 35 62 12 A = 1 2 3 B = 15 8 73 9 8 9 0 34 85 9 43 Using single index notation, find the index numbers of the elements in Matrix A that are greater than or equal to 4.True or False The inverse of a matrix M can be calculated in Python with the command Inverse=np.linalg.inv(M)
- 1 0 0 2 1 0 4 3 1 Compute the inverse of the matrixReplace the second column of * matrix Y to vector b, b=[4 68 10]Given vectors :u = (5,2) ; v = (-2,5) w = (0,3) ; q = (10,4)4.1 Calculate the following dot products:u.v ; (u.v).w ; u.(3w) , u.(w-v)4.2 Calculate‖?‖ ; d(u,v) ; ‖? − ?‖24.3 u and v are they orthogonal4.4 u and w are they orthogonal4.5 find c real number that satisfy q = c.u4.6 Deduce that q and u are parallel4.7 Normalize vector w
- I do not understand this expression. so is c[i][j] += a[i][h] * b[h][j] mean c[i][j] = a[i][h] * b[h][j] + c[i][j]?? ; We do not know about the + matrix c right?Given A={1,2,3,4,5,6},B={4,5,6,7,8,9}. Compute (e)B⊕A= (f) (A−B)∩(B−A) =Find Matrix Chain Multiplication for the following four matrices (M1, M2, M3, and M4) using dynamic programming Technique. Matrix M1 M2 M3 M4 Order of Matrix 5 x 4 4 x 3 3 x 5 5 x 6