题目1593 · 数学
Choose a Diagonal Entry to Hit a Cholesky Pivot 3
For q(x,y) = 5x^2 + 4xy + ky^2, the Cholesky factor of the associated matrix is required to have second diagonal entry equal to 2. What value of k achieves that?
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中文题目For q(x,y) = 5x^2 + 4xy + ky^2, the Cholesky factor of the associated matrix is required to have second diagonal entry equal to 2. What value of k achieves that?
打开 →A matrix A = [[9, k], [k, 10]] has a Cholesky factor whose second diagonal entry is exactly 1. What values of k are possible?
打开 →A positive definite matrix A = [[9, 6], [6, 13]] has Cholesky factor L = [[l11, 0], [l21, l22]] with positive diagonal. What is l22?
打开 →A matrix A = [[4, 2], [2, t]] has a Cholesky factor with positive diagonal entries 2 and 3. What is t?
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