Verifique se
S = {(1, -2, 4, 1), (2, 1, 0, -3), (3, -6, 1, 4)} ⊂ R4,
é um conjunto LD ou LI.
Seja W um subespaço de R4 gerado pelos vetores u1 = (1, -2, 5, 3), u2 = (2, 3, 1, -4), u3 = (3, 8, -3, -5).
(a) Determine uma base e a dimensão de W.
(b) Estenda a base de W para uma base de R4.
Encontre uma base para o subespaço vetorial de R3 dado por
U = [(1, 0, 1), (1, 2, 0), (0, 2, -1)].
Determine a dimensão dos subespaços do R4 gerados por:
(a) S = {(1, 2, 3, 0), (5, 6, 1, 5)};
(b) U = {(1, 2, 3, 0), (1, 1, 6, 3), (1, -7, 12, 9)};
(c) W = {(1, 2, 3, 1), (2, 4, -6, 2), (3, 6, 9, 7), (5, 10, 15, 13)}.
![Verifique se
S = {(1, -2, 4, 1), (2, 1, 0, -3), (3, -6, 1, 4)} ⊂ R4,
é um conjunto LD ou LI.
Seja W um subespaço de R4 gerado pelos vetores u1 = (1, -2, 5, 3), u2 = (2, 3, 1, -4), u3 = (3, 8, -3, -5).
(a) Determine uma base e a dimensão de W.
(b) Estenda a base de W para uma base de R4.
Encontre uma base para o subespaço vetorial de R3 dado por
U = [(1, 0, 1), (1, 2, 0), (0, 2, -1)].
Determine a dimensão dos subespaços do R4 gerados por:
(a) S = {(1, 2, 3, 0), (5, 6, 1, 5)};
(b) U = {(1, 2, 3, 0), (1, 1, 6, 3), (1, -7, 12, 9)};
(c) W = {(1, 2, 3, 1), (2, 4, -6, 2), (3, 6, 9, 7), (5, 10, 15, 13)}.](https://prod-meuguru-guruia-assets.s3.sa-east-1.amazonaws.com/j1a5XqT3AfllGwY-ZycYhWUjL?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=ASIAQXTC4KK6WOEFZPUE%2F20250716%2Fsa-east-1%2Fs3%2Faws4_request&X-Amz-Date=20250716T085458Z&X-Amz-Expires=900&X-Amz-Security-Token=IQoJb3JpZ2luX2VjED4aCXNhLWVhc3QtMSJHMEUCIGdkhaL65Y5z59vL1QPZB2cgxoqEtGZpC0wsSpnbFUz5AiEAra%2BTYqwPqG2GLE9mCcy8byUL3CeuwfvvVVwrXBFlPcUq5QMIVxACGgwwNTA2NzMyNDI4MTMiDN0KXlbtsNaVL%2FC3UyrCAzuV7gbr4VFoMDbNgo29wrQtsf2UGGVdvqX%2FHzD8IleFMHwPSR2ANLE9A%2BnMlCfoUhlXOAn2cQ%2Bx7LXFrsg82ZJ42Hw3U%2FKLOL3CXqD5uJOC1mRfoYoNBddYx0xbVM1x8nJysP7bWKCU1s9Z%2F1wjVthiNwroor0biTHgF%2FNyXUJ7MKdvK%2BaeLJ97HsUoB9%2FEvcCpbGm4tuGAJY0CRA8aB7WzIxtwPMnrKBZlC9iaCdmfejd5Tsr4LhcHxDg3DV9vW%2BYLSwJmnGL0Wmgbs9SuJJm2Zt8nuYG1%2B5AQbc%2FhTRkhH0MuSJqHFqW0k6X3KZtk0FHCuKVi%2FtUwyd7vcocCknyL7annHPgc1THYE9aynz%2B%2BXntMohrsXe57bjHCInYn5TwyyYE5o6fDahq8QbOcdVGpDyAajBckPA%2BUbujlvXLE4MVjh6999rYYo6%2B0W%2B0lJHMzzRJfjkpjo4QI7pk6VnvZcDzc98rw4yIE9nXIZGPnDxJ41nij8iKJoOBP1kIGVZBWP7lzOOGf1wuegjkwq8CIoIxdWdQvi9tpR9dfF%2BvAPkRcJEyMSMbBmiEIRFBGxkYxmOhmhGXcxOm%2FrLQG%2BIdHtzDy89zDBjqlAXnZoKLhj6iQ2aOoIl90foTJQ0IzPPUFkFs9u9zsRcfdNtA4sSC8USAFXi8Pjr5V9mmQHKQ3TxtlJRNJba%2FOjiFVniqeXC9ElTBUU9qW0Slz7FqIFT81SjTT8viabn0%2B67%2FOVVK2%2Fr1plawJhGw5pj%2BvoYBmI10GsBgryA2ccnBI3tYpTHZJSHo9a2X7IL14JW9oye9fX1vrgmkBjs7v%2BIY1fcs%2FiA%3D%3D&X-Amz-Signature=2fca3a883dbf00f6481468f84a2c2c8276a1ade314b6f48ca0ba79a4e8250091&X-Amz-SignedHeaders=host&x-id=GetObject)
