(2) Find an orthonormal basis for the positive definite matrix 12 25 9 and find a coframe E that satisfies g = ETE. Hint: determine the frame F with g = (FT)¯¹ F-¹.
(2) Find an orthonormal basis for the positive definite matrix 12 25 9 and find a coframe E that satisfies g = ETE. Hint: determine the frame F with g = (FT)¯¹ F-¹.
(2) Find an orthonormal basis for the positive definite matrix 12 25 9 and find a coframe E that satisfies g = ETE. Hint: determine the frame F with g = (FT)¯¹ F-¹.
Transcribed Image Text:Find an orthonormal basis for the positive definite matrix
12
- (2²3)
25
9
and find a coframe E that satisfies g = E¹ E.
Hint: determine the frame F with g = (F¹)¯¹ F-¹.
Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.
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