110年 - 110 國立台北科技大學碩士班招生考試_自動化科技研究所：工程數學#111318

科目：研究所、轉學考(插大)◆工程數學 | 年份：110年 | 選擇題數：0 | 申論題數：10

試卷資訊

所屬科目：研究所、轉學考(插大)◆工程數學

選擇題 (0)

申論題 (10)

(a) (10%) Find x+y+z+u+v+w = ?

(b) (10%) Compute the inverse of the following matrix B or show that B is not invertible.

(a) (10%) Find the eigenvalues of A^TA.

(b) (10%) Find a complete set of orthonormal eigenvectors of AA^T.

(a) (10%) Consider the line 2x + 3y= 1. Find a vector perpendicular to the line and explain why.

(b) (10%) Suppose A is an mxn matrix whose columns are linearly independent. What is the nullity of A?

(a) (10%)

(b)(10%) , where b is any real number

(a) (10%) Describe T geometrically.

(b) (10%) Compute