010 = Let R₁ and R₂ be relations on a set A represented by the matrices MR₁ 1 1 1 and MR₂ = 100 ГА В С The matrix representing R₂ o R₁ is DEF GHI Drag the variables on the right column, and drop them in their corresponding values on the left column. 0 D 1 E G B C F A H 1 01 0 01 1 1 1 1

Q: Draw vector 1/2CD - 2FE

A:

Q: Let B={(1,-2,1), (4,-7,5), (5,-8,8)], and x=(-6,10,-7) Find [x]B

A:

Q: Let a=⟨3,−5,5⟩ and b=⟨−1,5,2⟩ Find the component of b onto a

A:

Q: Let 13 −4 21. 1 -4 -1 Using a sequence of elementary row operations, transform A into reduced row…

A:

Q: [61] Diagonalize B = (by finding P and D) or explain why B isn't diagonalizable.

A:

Q: Let A = {2, 4, 5}, and let R be the relation on A consisting of pairs of the form (a, b), where ab…

A: Pairs in R is: {(4,4),(4,5),(5,4),(5,5)} Only these have ab>12

Q: Show that A= 4 * eye (4) - ones (4, 4) is not invertible: Multiply A* ones (4, 1).

A: We have to show that:  A= 4 * eye (4) - ones (4, 4) is not invertible

Q: 1-4 -4 3 and b₂ be column 2 of B. If A= b₁ = b₂ 5 and AB = 0.69230769 - 1.07692308 - 19 -5 6 11 -6 7…

A: and .We have to find first column and second column of matrix .

Q: Find the inverse of the following matrix: -7 5 -6 5 -2 3 1 −1 1

A: Given matrix: We have to find the inverse of the given matrix.

Q: Write the standard matrices of the given linear operators: a) L1(x) = (X1 +x2, X2 – X1) b) L2(x) =…

A: a. we have L1(x)=(x1+x2,x2-x1)  we take standard ordered basis β= (1,0),(0,1) and β=…

Q: [2 Let A = Find all matrices of the form B = that commute with A. P In other words find all matrices…

A: We have to do both the matrix multiplication.

Q: a3 and b Let a₁ a2 Determine whether b can be written as a linear combination of a₁, 32, and a3. In…

A:

Q: Let à = (0, 3, 2), b = (3, 1, 1), and c = (2, 6, 3). a Compute the following: = (a - b) (à · c) :…

A:

Q: Let R2x2 be the set of all 2x2 real matrices and consider function phi : C --> R2x2 given by…

A: