线性代数(经管类)2011年4月真题试题及答案解析(04184)

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18

二次型的矩阵为( )

  • A.<img src="//img1.yqda.net/question-name/22/a2edd082ba631133f3013c392815f6.png" width="64" height="42"/>
  • B.<img src="//img1.yqda.net/question-name/c2/16f5d64d66e83cceb172a5eb3f3431.png" width="70" height="62"/>
  • C.<img src="//img1.yqda.net/question-name/07/f658652e6d85b8c9c1bed59a1e77f1.png" width="93" height="83"/>
  • D.<img src="//img1.yqda.net/question-name/aa/6e96538f87390e8e7bc08d5c4517ac.png" width="89" height="62"/>
19

设矩阵A=,则A的对应于特征值λ=0的特征向量为( )

  • A.(0,0,0)<sup>T</sup>
  • B.(0,2,-1)<sup>T</sup>
  • C.(1,0,-1)<sup>T</sup>
  • D.(0,1,1)<sup>T</sup>
20

向量组的极大线性无关组为(  )

  • A.<img src="//img1.yqda.net/question-name/99/d3cf53b305a58a3ddb7fbf7b55a987.png" width="36" height="27"/>
  • B.<img src="//img1.yqda.net/question-name/eb/3362e18f9808528c43ce65df93addc.png" width="36" height="27"/>
  • C.<img src="//img1.yqda.net/question-name/b5/39ef78cc2895b0b1b5be3af76a509d.png" width="36" height="27"/>
  • D.<img src="//img1.yqda.net/question-name/92/afc3a4f08911778443d9e8e6394cae.png" width="37" height="27"/>
22

设λ=3是可逆矩阵A的一个特征值,则矩阵有一个特征值等于(  )

  • A.<img src="//img1.yqda.net/question-name/31/f03f4c48cbd442b15144a0270f3a32.png" width="25" height="42"/>
  • B.<img src="//img1.yqda.net/question-name/43/42342fc1f57ae7aea11d0e8fcf11cb.png" width="20" height="42"/>
  • C.<img src="//img1.yqda.net/question-name/bb/554d10ecab8f46ffc631607621e061.png" width="8" height="42"/>
  • D.<img src="//img1.yqda.net/question-name/75/730c1f79aada4a4bdc7a862026d854.png" width="8" height="42"/>
24

设向量,若有常数a,b使,则(  )

  • A.a=-1, b=-2
  • B.a=-1, b=2
  • C.a=1, b=-2
  • D.a=1, b=2
25

设A、B均为n阶可逆矩阵,且C=,则C-1是(  )

  • A.<img src="//img1.yqda.net/question-name/78/2593eafebdfa40628be93afd250a5d.png" width="75" height="42"/>
  • B.<img src="//img1.yqda.net/question-name/b3/512502ff1f381688a81c2b402e5b8f.png" width="75" height="42"/>
  • C.<img src="//img1.yqda.net/question-name/ab/c44403a4b64415c9dfdbd2b0b0a083.png" width="75" height="42"/>
  • D.<img src="//img1.yqda.net/question-name/c7/c976b48d275f58a595dcf80d86f064.png" width="75" height="42"/>
26

下列等式中,正确的是( )

  • A.<img src="//img1.yqda.net/question-name/b5/89fcb998c54a913dda55c5f9a725c7.png" width="158" height="42"/>
  • B.3<img src="//img1.yqda.net/question-name/0b/4977827a98a917cba35061750da58d.png" width="65" height="42"/>=<img src="//img1.yqda.net/question-name/11/257d9228fe01fb0260dc488ebf1e01.png" width="65" height="42"/>
  • C.5<img src="//img1.yqda.net/question-name/43/acfcfeee4abb09a04938e4119f5adb.png" width="77" height="42"/>
  • D.<img src="//img1.yqda.net/question-name/bb/da7b18b0c87158c782bad6f7e35d77.png" width="203" height="42"/>
27

下列矩阵中,是初等矩阵的为( )

  • A.<img src="//img1.yqda.net/question-name/49/d548568b652354e61921d1df0317a7.png" width="68" height="62"/>
  • B.<img src="//img1.yqda.net/question-name/ca/7fe9f45b479636321e564db83266b8.png" width="68" height="62"/>
  • C.<img src="//img1.yqda.net/question-name/60/1e92a2e6fe0e3661c9de99416acb5e.png" width="68" height="62"/>
  • D.<img src="//img1.yqda.net/question-name/ff/47dbaf02f2037bba72826a1b2f8f1e.png" width="68" height="62"/>