京都大学情報学研究科知能情報学専攻 2024年2月実施専門科目 F1-1

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Consider simultaneous linear equations given by

Find all values of such that there is a solution except for .

Consider a quadratic equation given by

Draw the ellipse represented by this equation in the -plane. The semi-major and semi-minor axes of the ellipse must be specified.

Consider an inner product space , where we have two vectors given by

Let be a subspace of spanned by and .

(1) Compute an orthonormal basis of .

(2) Compute such that forms an orthonormal basis of .