Help A is a 3 times 3 matrix and RREF(A) = Circle the correct answer on the foll
ID: 2984394 • Letter: H
Question
Help
A is a 3 times 3 matrix and RREF(A) = Circle the correct answer on the following problem. Each is 3 points. The system Ax = has (a unique solution)/no solution/ solution). The determinant of A is (zero/nonzero/not enough info to answer) The inverse of A (exists/does not exist/not enough info to answer) A is ( singular /(nonsingular). Let S = {(3,2),(4,1),(5,9))} Does the set 5 span R2? Explain your answer very briefly. Does the set S form a basis of R2? Explain your answer very briefly. Are the following subspaces of R2? YES or NO. The line y = 3x -4 The vertical line x = 3 The points inside the unit circleExplanation / Answer
Q. 10, Since RRE = identity, hence determinant of A must be non zero. Hence the answers would be same as those marked by you.
Q. 11. b. No, S does not form basis of R^2 as three vectors of R^2 can never be linearly independent
Q. 12, All subspaces must contain origin, hence a and b are not subspaces. c cannot be a subspace, because if we add two elements in circle, then their sum may not lie inside the circle
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.