设4阶矩阵A的秩是2,则其伴随矩阵[tex=1.286x1.071]317mMb/UfJBjZHDU7raSng0LJvrihprruusK4SVz/+w=[/tex]的秩是[input=type:blank,size:2][/input]
举一反三
- 设 4 阶矩阵 [tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex] 的秩是 2,则其伴随矩阵 [tex=1.143x1.071]DFelGZAPNOqMgdbfKVoEHA==[/tex] 的秩是[input=type:blank,size:6][/input]
- 设矩阵[tex=8.286x3.5]QN0fTQbn6M33pU3gx/S2slUv+QIAEV/W1i1RUgTPCJRv08LFyda/bNeBdaKDw9HveRoSlL8xeM4Hfbv+0iNLC/6Lb/Wd+fCEksEWLW+oAgimhlGcVmdLUheJPoRJg52X[/tex]的秩为 2,则[tex=1.357x0.786]/hFLM7h8J4g2u+aatyQL+A==[/tex][input=type:blank,size:4][/input]。
- 证明:若A为正定矩阵,则其伴随矩阵[tex=1.286x1.071]317mMb/UfJBjZHDU7raSng0LJvrihprruusK4SVz/+w=[/tex]也是正定矩阵.
- 设矩阵[tex=7.5x3.5]+HNIZcMaSzNwCe0LO7bsUq/nNqiD9uPVTX2/0HTi4M2hT8yftZRYRfeCmBJSGBbRl2HvXQqKItST3hwrgjnB0stDjK1Wyzt0fRylSRrw8QBpqG15X9jY7YtiyXDhHrw9[/tex],[tex=1.286x1.071]c5Cf4pRARaBipYntugL/3iX6j2L25q2ZK/Q/aYNhVjo=[/tex]为[tex=0.929x1.0]zkuxy59wnc0FrSuUc1OFF6pw7am5S+IP5AAfiovVsGI=[/tex]的伴随矩阵,则[tex=2.786x1.357]ddtNYyKpszqy7W1RYYQRuKt+NsIFgVZNGgr/AmuLlUMNT5qHrvegJ946ZMujRKUl[/tex][input=type:blank,size:4][/input].
- 设4阶方阵A的秩R(A)=2,求其伴随矩阵[tex=1.143x1.071]nnt6woQbTr+wrutPzAntHg==[/tex]的秩,