ANS1. The vectors r1 and r2 are linearly independent because there is no linear combination of either r1 or r2 that converts r1 into r2 and vice versa. Hence the two vectors r1 and r2 are linearly independent.
please help on answering ANS1= Start Typing in MATLAB 1 2 3 Example 1: Let B...
Start Typing in MATLAB Use MATLAB: 1.) Determine if the vectors V1 = (2,-1,2,3), V2 = (1,2,5, -1), V3 = (7,-1,5,8) form a basis for R4. Type: BA1 = [2 – 1 2 3;1 2 5 – 1;7 -15 8]' BAR1 = rref(BA) If you decide that V1, V2, V3 form a basis for R, type: ANBA1= 1 Otherwise type: ANBA1=0 2.) Determine if the vectors V1 = (1,2,3), V2 = (2,9,0), V3 = (3,3,4) form a basis for Rº....
the last pic is number 14 please answer it as a,b,c,d as
well.
thanks
1. If A is diagonalizable then A is diagonalizable. a) True b) The statement is incomplete c) False d) None of the above 2. In every vector space the vector (-1)u is equal to? a) -U b) All of the above c) None of the above d) u 3. The set of vectors {} is linearly dependent for a) k = 3 b) k = 1...
linear algebra question
2. (5' each) Give short answers: (a) True or false: If Ai-Adi for some real number λ, then u is an eigenvector of matrix A. If a square matrix is diagonalizable, then it has n distinct real eigenvalues. Two vectors of the same dimension are linearly independent if and only if one is not a multiple of the other. If the span of a set of vectors is R", then that set is a basis of R...
Linear Algebra:
1. 1.9 #6 For the following W = Span({(2,6,5,-4),(5,-2,7,1),(3,-8,2,6)}) a. Assemble the vectors into the rows of a matrix A, and find the rref R of A. b. Use R to find a basis for each subspace W, and find a basis for W as well. Both bases should consist of vectors with integer entries. c. State the dimensions of W and W and verify that the Dimension Theorem is true for the subspaces.
no calculator please
1 (8 pts) Find the dimension and a basis for the following vector spaces. (a) (4 pts) The vector space of all symmetric 2 x 2 matrices (which is a subspace of M22). (b) (4 pts) All vectors of the form (a, b, 2a + 3b) (which is a subspace of R®). 2. (12 pts) Given the matrix in a R R-E form: 1000 3 0110-2 00011 0 0 0 0 0 (a) (6 pts) Find rank(A)...
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Given that B = {[1 7 3], [ – 2 –7 – 3), [6 23 10]} is a basis of R' and C = {[1 0 0], [-4 1 -2], [-2 1 - 1]} is another basis for R! find the transition matrix that converts coordinates with respect to base B to coordinates with respect to base C. Preview Find a single matrix for the transformation that is equivalent to doing the following four transformations...
Can
you please answer questions 1-6,thank you a lot!Thumbs up for great
answer,Thx!
Remember: to show that a property is true you must check every possibility (probably using variables and general vectors). To show that a property is false you only need to give one counterexample. 1. Find a set of vectors in R2 which is closed under vector addition but not scalar multiplication. 2. Find a set of vectors in R? which is closed under scalar multiplication but not...
2 5 Do the vectors u = and v= 3 7 span R3? -1 1 Explain! Hint: Use Let a, a2,ap be vectors in R", let A = [a1a2..ap The following statements are equivalent. 1. ai,a2,..,a, span R" = # of rows of A. 2. A has a pivot position in every row, that is, rank(A) Select one: Oa. No since rank([uv]) < 2 3=# of rows of the matrix [uv b.Yes since rank([uv]) =2 = # of columns of...
please provide the matlab working screenshot
4. Consider the matrix 1 1 0 -1 0 -1 1 3 12 1 1 (a) Use Matlab to determine the reduced row echelon form of A. (b) If v, v2, vs, v4 are the column vectors of the matrix A, use your result from (a) to obtain a basis for the subspace of W-lin[vi, V2, vs, v4. Write the basis in the box below.
4. Consider the matrix 1 1 0 -1 0...
4. Consider the matrix 0- 3 1 -2 1 4 (a) Use Matlab to determine the reduced row echelon form of A (b) If v, V2, vs, v4 are the column vectors of the matrix A, use your result from (a) to obtain a basis for the subspace of W-linsv1, V2, V3, V4. Write the basis in the box below
4. Consider the matrix 0- 3 1 -2 1 4 (a) Use Matlab to determine the reduced row echelon form...