104年 - 104 淡江大學 轉學考 線性代數#53183

科目：轉學考-線性代數 | 年份：104年 | 選擇題數：0 | 申論題數：10

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申論題 (10)

【已刪除】1. Find the a unit vector (單位向量）that is oppositively directed (相反方向）to the vector
2. Show that the vectors v1= (l,2,l) , v2 =(2,9,0), and v3 =(3,3,4) form a basis for R3.
【已刪除】3. Show that the matrix A = - sin 6 cosO 0 is invertible for all value of θ.
4.Ais a 4x4 matrix and its determinat is det( A) = -2, find det(-A), det(A-1), det(2AT), det(A3),and det((3A) -1)
【已刪除】5. Solve by Gauss- Jordan elimination.
【已刪除】6. Find the rank and nullity of the matrix A=
【已刪除】7. Find the eigenvalues of the upper triangular matrix
【已刪除】8.Find bases for the eigenspaces of the matrix
【已刪除】9. Find a matrix P that diagonalizes A=
【已刪除】10. Show that A = and B = are not similar matrices.