Question: Please solve Q2ab. Hand Written solution only! no CHATGBT answer please. Thanks 2. Suppose that 5 : F F and T : F F are

Please solve Q2ab. Hand Written solution only! no CHATGBT answer please. Thanks

2. Suppose that 5 : F F and T : F F are linear transformations. (a) Prove that SoT is onto and one-to-one if and only if both S and 7" are both onto and one-to-one. (b) Suppose that (T oT)(Z) - T(Z)+ T = 0 for all F. Using this fact, prove that [T]g is invertible

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