Find the matrix representation of T: R³ → Rª, [3x + 2y + z] x+y+z TED- x - 3y [2x + 3y + z]

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: Rewrite as a matrix-vector product: Зх + 4у — z + w%3D 12 -x + 2y – z +w = 9 2х — Зу + 2z — 4w %3D -…

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Q: IfT: R² R³ is a linear transformation such that -n the standard matrix of Tis 13 T([2])-[3] . and T…

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Q: Explain why det (BPB¯¹) = det(P) for any matrices P and B. Assume both sides of the equation are…

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Q: Find the matrix B such that 2AT+3B=0.

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Q: 2. Diagonalize the matrix: 1 0 -2 1 1 1 -1

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