I don't understand why there is ei equal all 0 but 1 will appear in the middle , please give me some example with this matrix to explain it
I don't understand why there is ei equal all 0 but 1 will appear in the...
Please tell me what happen here the question is : If A is an n×n matrix with the property that Ax = 0 for all x ∈ Rn, show that A = O. Hint: Let x = ej for j = 1, . . . , n Given that A is an n×n matrix with the property AX = 0 for all X " 1 A=(a,,a,, 0 0 Let a.) Let e, =| | | ← ith element Comment
Matrix notation: A=(a1,a2,a3.....,an) = [a1 a2 a3 a4 .....an] are they equal? look at the sample picture A should be matrix but it uses ( ) rather than [ ] Given that A is an n×n matrix with the property AX = 0 for all X " 1 A=(a,,a,, 0 0 Let a.) Let e, =| | | ← ith element Comment
Please explain with example: follow the comment: If A is an n×n matrix with the property that Ax = 0 for all x ∈ Rn, show that A = O. Hint: Let x = ej for j = 1, . . . , n. Why ej=(1,....n) then it comes out it is a column vector and all zero except 1 inside, i don't get it Ax = 0 for all XEO" Let A-(a,a,. Let e.-| | | ← jth element...
I cannot understand about this section ||AX||2=||A||2||X||2 please explain why Bookmark Show all steps: Chapter 7.1, Problem 13E 12-1 Chapter 7.1A 10E Comment 11E 12E Step 17 of 19 13E 14E Let a be the general element of the matrix A and x, be a coordinate of xsuch that the following situation arise 15E 16E 1x12=1 17E max 18E - max 19E Chapter 7.2 ﹀ Chapter 7.3 Comment Chapter 7.4 ﹀ Chapter 7.5 Step 18 of 19 A Chapter 7.6...
I don't understand what this is asking me to do. 4.1-7.)A particle starts at (0, 0) and moves in one-unit dependent steps with equal probabilities of 1/4 in each of the four directions: north, south, east, and west. Let S equal the east-west position and T the north-south position after n steps. (a) Define the joint pmf of S and T with n = 3. On a two-dimensional graph, give the probabilities of the joint pmf and the marginal pmfs...
Let M be an n x n matrix with each entry equal to either 0 or 1. Let mij denote the entry in row i and column j. A diagonal entry is one of the form mii for some i. Swapping rows i and j of the matrix M denotes the following action: we swap the values mik and mjk for k = 1,2, ... , n. Swapping two columns is defined analogously. We say that M is rearrangeable if...
Please explain and follow the comment: First of all, i don't understand what it means the bridge hand is void in at least one suit because I don't play bridge. Does that mean in 13 cards, it only has 3 suits? 54. Compute the probability that a bridge hand is void in at least one suit. Note that the answer is not 4 39 113 52 13 (Why not?) Hint: Use Proposition 4.4. y
I don't understand this at all. Can someone please explain how/why/when these computations are done? Thanks
Please follow the comment If A is an n×n matrix with the property that Ax = 0 for all x ∈ Rn, show that A = O. Hint: Let x = ej for j = 1, . . . , n.
1. Let A be an m x n matrix. Determine whether each of the following are TRUE always or FALSE sometimes. If TRUE explain why. If FALSE give an example where it fails. (a) If m n there is at most one solution to Ax = b. always solve Ax b (b) If n > m you can (c) If n > m the null space of A has dimension greater than zero. (d) If n< m then for some...