Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN: 9781305658004
Author: Ron Larson
Publisher: Cengage Learning
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- Let T be a linear transformation from R2 into R2 such that T(1,1)=(2,3) and T(0,2)=(0,8). Find T(2,4).arrow_forwardDetermine whether the set S={1,x2,2+x2} spans P2.arrow_forwardLet A = {2, 4, 5}, and let R be the relation on A consisting of pairs of the form (a, b), where ab > 12, and both a and b are elements of A. List the pairs in R and then represent R using a matrix.arrow_forward
- How can the matrix for R-1, the inverse of the relation R, be found from the matrix representing R, when R is a relation on a finite set A?arrow_forwardHow many relations are there on the set {a, b}. Show all possible relations on the set {a, b} in matrix format.arrow_forwardConsider the relation on A = {a, b, c, d, e} given by R = {(a,b), (b,c),(b,d), (b,e),(d,e)}arrow_forward
- Let A = {2, 3, 4, 5, 6}, B = {11, 12, 13, 14, 15} and define the relation R from Ato B by aRb if a|b. Construct the matrix M corresponding to R.arrow_forwardLet P={{a,b,d},{c,f},{e,g}} be a partition. Write the relation matrix for the implied equivalence relation.arrow_forwardLet R be the relation represented by the matrix. M₂ [011] 110 101 the matrix that represents the relation R and R. Identifyarrow_forward
- The matrix representation for the relation R on {v1, v2, v3, v4} is given below. The first row/column corresponds to v1, the second row/column corresponds to V2 , etc. (1 0 1 1 1 1 1 0 1 0 1 1 1 a. Write R as a set of ordered pairs on your work. How many ordered pairs are in the relation R?arrow_forwardLet R1R1 and R2R2 be relations on a set A represented by the matrices MR1=⎡⎣⎢011110010⎤⎦⎥MR1=[010111100] and MR2=⎡⎣⎢001111011⎤⎦⎥MR2=[010011111] . The matrix representing R2∘R1R2∘R1 is ⎡⎣⎢ADGBEHCFI⎤⎦⎥[ABCDEFGHI] . Drag the variables on the right column, and drop them in their corresponding values on the left column.arrow_forwardLet A={1,2,3,4} and let R be the relation from A to A R={(1,1),(1,4),(2,1),(2,2),(2,3),(3,1),(3,4),(4,3)} Create thr diagraph and matrix Mr for the relationarrow_forward
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