Consider the matrix transformation TÃ, where A = The nullity of TA is a) 1 b) 2 c) 3 d) 4 The rank of TA as the above is, a) 1 b) 2 c) 3 d) 4 1 2 2 1-1 -3 -6 -6 3 e) none e) none ܥ ܩ ܩ ܕ -4 ܗ ܣ ܩ -2 5 -1 −1 9 2 -5 ANNA 2 7 -4]

Q: Let T₁ and T₂ be linear transformations from R³ into R³ such that T₁ (X₁, X2, X3) = (X1 + X3, X1 +…

A: Here we will find matrix of linear transformation

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Q: 1). Determine whether the matrix operator T: R → R³ defined by the equations is One-One and Onto. If…

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Q: (a) Construct the 3 × 3 matrices A₁ and A₂ associated to the linear transfor- mations L₁ and L2,…

A: (a)Two Linear transformations are mentioned:.Thus the matrix for the transformation  is given by and…

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Q: Let T,(x1,x2) = (+4x1 – 5z2, +1æ1 – lz2), and T2(x1,X2) = (- 321 – 5æ2 , +5æı + 8x2). Write the…

A: To find the standard matrices for T1,T2 and T10T2.

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Q: A middle inverse of Matrix B may not be a left Inverse of B. True b) False

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Q: 2) Let T a d 11 la + 2b + (-6) c + 2d + (-18) e 2a + 5b+ (-14) c + 6d+(-46) e Then a basis for…

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Q: If A is an invertible matrix. Then det(AA-): 1D

A: IA is an invertible matrix To find det(AA-1)

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Q: Show that the matrices [1 1 1] A = |1 3 0 and B = |0 o 0 0 1 1 1 1 are similar.

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Q: 6 Let b₁=[2] b₂ = 3 4 [ C₁ = [ ² ] ² ₂ = 1²²] > V = [] (2 13 2 and C = { C₁₂ (₂} Find and consider…

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Q: write down in se quence steps in finding the the inverse OF matrix using the adjoint the matrix. OF

A: Let's find.

Q: Diagonalize the following matrix: 21 0 4 - 1 -4 3 1 - 1 400 0 1 0 00-2 not diagonalization 40 0 02 0…

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