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8. -11 points LARLINALG8 4.5.053. Determine whether is a basis for R S = {0,2,5), (0,...
Determine whether S is a basis for R. S = {(2, 4, 3), (0,4,3), (0, 0,3)} OS is a basis for R3 S is not a basis for R3. If S is a basis for R3, then write u = (6, 8, 15) as a linear combination of the vectors in S. (Use S1, S2, and sz, respectively, as the vectors in S. If not possible, enter IMPOSSIBLE.) us
Problem 15. Show that the following vectors are an orthonormal basis for R 0 42- and Write the vector as a linear combination of qi, 12, s and q
Please finish the last part of question 1 and question 2 as well please if you can. Thank you!! Determine whether S is a basis for R3. S = {(5, 2, 4), (0, 2, 4), (0, 0,4)} S is a basis for R3. OS is not a basis for R3. If S is a basis for R3, then write u = (15, 2, 12) as a linear combination of the vectors in S. (Use S1, S2, and S3, respectively, as...
Determine whether S = { (1,0,0) , (1,1,0) , (1,1,1) } Is a basis for R^3 and write (8,3,8) as a linear combination of vector in S. Please explain in details how to solve this problem.
DETAILS LARLINALG8 8.4.013. Determine whether S is a basis for c2. S = = {(1, -i), (i, 1)) Sis a basis for c2 S is not a basis for c2
0/1 points Previous Answers LARLINALG8 4.6.020. Find a basis for the subspace of R4 spanned by S. S = {(2,5, -3, -3), (-2, -3, 2, -4), (1, 3, -2, 3), (-1, -5, 3, 4)}
0 1 Let S span 1 1 1 0 }, a basis for S. Show that| (a) Let B1 { 1 0 1 1 0 is also a basis for S 0 B2 { 1 (b) Write each vector in B2 (c) Use the previous part to write each vector in B2 with respect to Bi (how many components should each vB, vector have?) (d) Use the previous part to find a change of basis matrix B2 to B1. What...
DETAILS LARLINALG8 4.R.084. ASK YOUR TEACHER Determine whether each statement is true or false. If a statement is true, give a reason or cite an appropriate statement from the text. If a statement is false, provide an example that shows the statement is not true in all cases or cite an appropriate statement from the text. () The set w = {(0,x2,x): and X" are real numbers) is a subspace of R. False, this set is not closed under addition...
plz solve all 3 9. (1/5 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 7.1.025. Find the characteristic equation and the eigenvalues and corresponding eigenvectors) of the matrix. 0 -3 -4 4 -6 0 0 (a) the characteristic equation (-23 +812 - 42 - 48) X (b) the eigenvalues (Enter your answers from smallest to largest.) (dzo dz, dz) = (-2,4,6 the corresponding eigenvectors Need Help? Read It Talk to a Tutor Submit Answer 10. [-/1 Points] DETAILS LARLINALG8 7.1.041. Find the eigenvalues...
please solve both as other did wrong plz 8. [0/5 Points] DETAILS PREVIOUS ANSWERS LARLINALG8 7.1.021. Find the characteristic equation and the eigenvalues (and corresponding eigenvectors) of the matrix. 2 -2 0 3 -2 0 - 1 2 (a) the characteristic equation (2 – 2)(a – 4)(a − 1) X (b) the eigenvalues (Enter your answers from smallest to largest.) (11,12,13) = ( (1,2,4) the corresponding eigenvectors x1 = (1, - 2,9) X2 = (0,2, - 2) x X3 =...