课程名称︰线性代数
课程性质︰电机系必修
课程教师︰刘志文
开课学院：电资工程学院
开课系所︰电机系
考试日期（年月日）︰108.10.30
考试时限（分钟）：50
试题 :
1. (40%)Solve the following system of linear equations:
x1 + 2x2 - x3 + 2x4 + x5 = 2
-x1 - 2x2 + x3 + 2x4 + 3x5 = 6
2x1 + 4x2 - 3x3 + 2x4 = 3
-3x1 - 6x2 + 2x3 + 3x5 = 9
2. (30%)The reduced row echelon form of a matrix A is
┌1 2 0 -1┐
R = │0 0 1 1│
└0 0 0 0┘
Determine A, give that the first and third columns of A are
┌1┐ ┌2┐
a1 =│2│and a3 =│2│
└1┘ └3┘
3. (30%)In R^2, show that a rotation by 180 degree followed by a reflection
about the x-axis is a reflection about y-axis.