Find the sum. 5+7+9+ ... + 77 The sum is (Type an integer or a simplified fraction.)
4 7 5 0 2 2 Problem 7 Let A= -1 2 9 -4 1 5 -1 3 7 3 1 -4 2 0 1 1 0 10 2 a) (4 pts] Using the [V, D] command in MATLAB with rational format, find a diagonal matrix D and a matrix V of maximal rank satisfying the matrix equation A * V = V * D. Is A real-diagonalizable? b) [4 pts) Write down the eigenvalues of A. For each eigenvalue,...
Find the covariance BY HAND x 4 5 7 9 11 y 7 10 15 18 23
Question 15 2 pts 5 1 0 Details 10 kW) 9 8 7 6 5 4 3 2 1 10 -9 -8 -7 -6 -5 - -3 -2 4 5 6 7 8 9 را به -5 -6 -7 -9 Given the function above, find the average rate of change for k from-5 to 0.
7. (15 pts) For the matrix A= -3 1 2 3 6 -2 - 4 -9 -1 1-7 2 3 -1 5 8 - 4 4 9 0 a) Use your calculator to place the matrix in RREF. b) Find a basis for the Range(A). c) Find a basis for Nul(A).
7. Let 7 = (1,-1,-2), ū = (2,-1,1) and = (2,-2,-4). Find: (a) *(-20) (4 pts) (b) (+37). ū (4 pts) (c) The vector of magnitude 5 that points in the same direction as (4 pts). (d) The angle between 7 and ū (4 pts). (e) Find Projz() (4 pts).
1-3 42 5 4 2 -6 9 8 . find bases 2 6 9-1 9 7 *6. Given A- find bases for nul A and col A -1 3 -4 25 -4 Express your answers in parametric vector form. 16 points
2 1 3 4 -2 5 7 -2 9 Problem 9 Let uj = u2 = 13 2 Also let v= 0 5 3 10 -6 0 11 1 1 7 a) (4 pts) Compute prw(v) where W = Span{u1, U2, U3} CR5. b) [4 pts) Compute prw(v) where w+ denotes the orthogonal complement of W in R5. c) [3 pts) Compute the distance between v and W.
Python Question: In [76]: arr3d = np.array([[[1, 2, 3], [4, 5, 6]], [[7, 8, 9], [10, 11, 12]]]) In [77]: arr3d Out[77]: array([[[ 1, 2, 3], [ 4, 5, 6]], [[ 7, 8, 9], [10, 11, 12]]]) In [78]: arr3d[0] Out[78]: array([[1, 2, 3], [4, 5, 6]]) Can someone tell me why arr3d[0] is a 2 × 3 array?
pls answer 5,6,7,8
For the matrices below, [4 3 77 AE [4 77 11 2 5 6 B- CE 1 27 120 4 D-1943 (2 -1 7 -6] 5 G= 1764] [i 7 (4 5 87 2 3 0 6] Perform the following operations: 5) CXG 6) Det (B) 7) E 8) Can you calculate Dor Det (G)? Why is that?