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Exercício 4.40 Considere a transformação linear T:R3⟶R2T : \mathbb{R}^3 \longrightarrow \mathbb{R}^2T:R3⟶R2 definida por:
T(x,y,z)=(x−y+z,−x+2z)T(x,y,z) = (x - y + z, -x + 2z)T(x,y,z)=(x−y+z,−x+2z).
Determine [T]βγ[T]^{\gamma}_{\beta}[T]βγ, onde γ\gammaγ é a base canônica de R3\mathbb{R}^3R3 e β\betaβ é a base canônica de R2\mathbb{R}^2R2.
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![Exercício 4.40 Considere a transformação linear $T : \mathbb{R}^3 \longrightarrow \mathbb{R}^2$ definida por:
$$T(x,y,z) = (x - y + z, -x + 2z)$$.
Determine $[T]^{\gamma}_{\beta}$, onde $\gamma$ é a base canônica de $\mathbb{R}^3$ e $\beta$ é a base canônica de $\mathbb{R}^2$.](https://prod-meuguru-guruia-assets.s3.sa-east-1.amazonaws.com/SerHo5EWP0BNHNp-Eu1LdRuOu?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=ASIAQXTC4KK6T4ILHGJJ%2F20250705%2Fsa-east-1%2Fs3%2Faws4_request&X-Amz-Date=20250705T054640Z&X-Amz-Expires=900&X-Amz-Security-Token=IQoJb3JpZ2luX2VjEDEaCXNhLWVhc3QtMSJGMEQCIG3heF7aUFDws4rzoH%2FvNl3e9B%2B%2FXBeBus%2FW92CUS1pfAiAVRad4hNhDgTkdb8m9Ln5z4eDbmYhteYW3jWzejJM14yrlAwg6EAIaDDA1MDY3MzI0MjgxMyIMtRLjvaEtg7YBc5MgKsIDShILavJ8troNs1YBK7%2BvpOqs9bdks%2F5TmPWFPBKGJTe%2BO7pcoYiT15d%2FD4Od3M4QGwEihJ7K8UzE5jwNZsxilUApj%2FB%2FD3fGcS5g4HgMxJBxjcJ0Okar%2Bf3eXYwU2OP4ZgwQOL6UF6iLda66%2B6qO7AiG3wHYgRZWvKbPFn%2FAPeRuunTV9AVGGvH4OLwJ6Qjt1qC2DFOWJky9Rt0oAVFY59E3kg%2FJQGeIFPFzHlOxvFays8bwWlpi%2BsFvZ4rIiLA%2FNtt4qbm%2BWxXcJ2k7DksiCdGvh%2BYhbuanzqreacSaDTzbqfKFO2emtTeBQ46FDTPZbRUz0Ypk0mToH2I2TVKMgrqtx6vCDVwExIKoT7zPYdRdrtdIaNGQFmLKbCARVy6JIbHdrWbKzfnwFasW95tmqG696gs0UbJptg8PiFFSb8UC4AfV5UqxBAUYRlL6c3YXO0NscjTPfUf0sYD2j9Awcf%2B2%2F9S9IIBR%2FezPukFpCqoZSfKA7H8wxj6jEovyDipqxGvfiVVHOHWs9nznQQdPZ%2BWdTDHl9ULlcyv2C%2FIZH8d8FLTqafga1crV3m%2B9QU8%2FHEGvaVe7oGWEw%2BR26B5votyCMJXrocMGOqYBQDaz7tDN6P0nOmgYEVlH137yD1y%2BG%2Bvb4LOvSkX2X%2FSa4F%2BL55OQh6m9uMPMfttMMtsbEajw0uIvV1D6anKMU0ogyZXWjXHa4QmE%2FllpXju%2FdpspShN2c2EmhjnmPQM7Ryj9MFr14deNpjaadFl0rJ1BUkJ6Pg2ChaI2%2BGjuaDKDaKT6%2BqXz42XW2JZX%2FvRPV%2F6kzQP%2BKNwKnK9J8W44WYx22Fh89Q%3D%3D&X-Amz-Signature=13ad4ad51904525bbaf6cdac735f71def06d09df163d6c824a60689b0c98b37c&X-Amz-SignedHeaders=host&x-id=GetObject)
