Let T : R6 → R2 be a linear operator such that T(x1, X2, X3, X4, X5, X6) (a) What is [T], the matrix of T? (b) What is the rank of [T]? (c) Give a basis for the range of T. = X1 + X₂2+X3 X4+X5+X6 3 3 >

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Q: 3.) Prove (cA)" = cCA) %3D

A: Let A be a m×n matrix so A=(aij)  1≤i≤m and 1≤j≤n ie A has m rows and n columns. By AT we mean…

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A: Given relation is                              R=(0, 1), (0, 2), (1, 1), (1, 3), (2, 2), (3, 0) we…

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Q: 33. T(x1,x2,X3) = (3x1, x2, X1 – x2)

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Q: *(})- (;) -(;) 1 3

A: T:R2→R3 satisfying the condition, T11=121 and T12=132

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A: Given :u1 =(2,1,1) u2= (-2,2,1) u3= (1,-1,-2)

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