Consider the linear transformations R:R2→P3: S:P2¬R²2 and T:P3→P2 defined by R((a,b)) = a- bx³. S(a+bx+ cx²) =(a+ b,c) and T(a+bx + cx² + dx³) = a +d- cx respectively. a. Is TOR•S defined? B. Is s.R defined? y. Is (3,3) in ker(T•R)? 6. Is (1,1) in the range of s.T? Submit your answer as a binary string of length 4 where the answer "yes" to a question above is represented by a 1 and the answer "no" is represented by a 0. (For instance, if your answers to a question with a similar format were no, no, no, yes then you would submit 0001 as your final answer.)

Q: ordinates A(1,3), B(1,2), CC (Y

A: The co-ordinates of the quadrilateral is A(1,3), B(1,2), C(5,1) , D(4,4)The reflection across the…

Q: Which of the following transformations are linear? Select all of the linear transformations. There…

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Q: 4. Let T: R" → Rm be a linear transformation and suppose T(u) = v. Show that T(-u) = -v.

A: Since T is a linear transformation, for any scalar number c, we must have,        T(cu) = cT(u)

Q: Let T:R" R" be a linear transformation, and let {V1, V2, V3} be a linearly dependent set in R".…

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Q: Which of the following transformations are linear? DA. T(A) = A + Is from R³x3 to R³×3 OB. T(A)=9A…

A: Given :  A.TA=A+I3B. TA=9AC. T(A)=A2 To Check : Given transformation is linear Note : As per policy…

Q: 3. Consider the linear transformations T: R² → R² and S: R² → R² defined by "(E)-H *(E)-L |2x2 X2 S…

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Q: Let T₁ M22 P₁ and T₂: P₁ → R³ be the linear transformations given by T₁ ([cd]) = (a+b)+(c+d) x…

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Q: Prove or disprove whether the transformations T defined below are linear. (i) T(x1, X2, X3) %3 (хз —…

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Q: Determine if the following transformations are linear. a)T(x, y) = (4x-6y,-2x +3y) b)T(x, y, z) =…

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Q: Let T: R? » P2(R) and U : R' → M2x2 (R) be lincar transformations. A student claims U must be…

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Q: Let T be a linear transformation from P₂ into P₂ such that 7(1) = x, T(x) = 1 + x, and 7(x2) = 1 + x…

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Q: T₁ State University, 202 I1 I2 yright Texas State University, 2023. All rights reserved. 2x11₂ a.…

A: Given: Let T1 and T2 be the linear transformations defined by T1: x1x2→2x1-x24x1 , T2:…

Q: T(xy)=Cax?+by?, cx²+dy²) 2

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Q: Let T: R2→R? be a linear transformation such that T (x,X2) = (X1 +x2, 4x, +3x2) . Find x such that…

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Q: II. Let V =span- and define the transformations a b T [a² – b? c? – d²] ; S(A) = adj(A) P Determine…

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Q: II. Let V =span- and define the transformations [a b] c d [a² – 6? c? - d²1 S(A) = adj(A) d…

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