【简答题】已知二次型f(x1,x2,x3)=mx12+mx22+mx32+2x1x2+2x1x3一2x2x3,则当t为何值时,f是正定的;当t为何值时,f是负定的?
【简答题】已知二次型f=x12+4x1x2+tx22的秩为1,求t的值。
【简答题】已知二次型f(x1,x2,x3)=(1-a)x1^2+(1-a)x2^2+2(1+a)x1x2的秩为2 求a的值,求正交变换x=qy。
【简答题】已知二次型f(x1,x2,x3)=5x12+cx32一2x1x2+6x1x3—6x2x3的秩为2,求参数c及此二次型对应矩阵的特征值.
【单选题】A:Stuart, how's it going?
B.
What time are you going?
C.
I'm going to finish the PowerPoint for tomorrow's presentation.
D.
Well, yes. But I think I can make it better.
E.
Thanks for the invitation. I'll work on the presentation until eight and then join you for dinner.
F.
It's kind of you to ask but I don't think so. I love my job!
【简答题】已知二次型f(x1,x2,x3)=mx12+mx22+mx32+2x1x2+2x1x3—2x2x3,则当m为何值时,f是正定的;当m为何值时,f是负定的?
【简答题】已知二次型f(x1,x2,x3)=x12+5x22+x32+2x1x2+2ax2x3为正定二次型,则a的取值范围是——.