Consider two vectors v1 and v2 in R^n. They form the matrix G = [(v1 dot v1) (v1 dot v2)] [(v2 dot v1) (v2 dot v2)]. For which choices of v1 and v2 is the matrix G invertible?
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Originally Posted by noles2188 Consider two vectors v1 and v2 in R^n. They form the matrix G = [(v1 dot v1) (v1 dot v2)] [(v2 dot v1) (v2 dot v2)]. For which choices of v1 and v2 is the matrix G invertible? As long as . The determinant of your matrix is for invertibility. Thus,
Originally Posted by noles2188 Consider two vectors v1 and v2 in R^n. They form the matrix G = [(v1 dot v1) (v1 dot v2)] [(v2 dot v1) (v2 dot v2)]. For which choices of v1 and v2 is the matrix G invertible? The matrix G is NOT invertible iff its rows are linearly independent iff the second row is a multiple scalar of the first one iff So if both vectors are non-zero then the above means that it must be... Tonio
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