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29 Apr 2023
a. Given a square matrix A with block partition A = [A_11 0 A_12 A_22]. The determinant is equal to det(A) = det(A_11) + det(A_12) + dot(A_22). b. Three nonzero vectors that lie on a plane in R^3 might form a basis for R^3. c. If A is an n times a matrix, then each cofactor of A is an (n - 1) times (n - 1) matrix. d. Let T: R^5 rightarrow R^8 be a linear transformation. Then the range of T is a subspace of R^5.
a. Given a square matrix A with block partition A = [A_11 0 A_12 A_22]. The determinant is equal to det(A) = det(A_11) + det(A_12) + dot(A_22). b. Three nonzero vectors that lie on a plane in R^3 might form a basis for R^3. c. If A is an n times a matrix, then each cofactor of A is an (n - 1) times (n - 1) matrix. d. Let T: R^5 rightarrow R^8 be a linear transformation. Then the range of T is a subspace of R^5.
nguyenngocyLv10
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30 Apr 2023
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nishareyansh2001Lv10
30 Apr 2023
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