A、有不全为0的数λ<sub>1</sub>,λ<sub>2</sub>,…,λ<sub>s</sub>使λ<sub>1</sub>α<sub>1</sub>+λ<sub>2</sub>α<sub>2</sub>+…+λ<sub>s</sub>α<sub>s</sub>=0和λ<sub>1</sub>β<sub>1</sub>+λ<sub>2</sub>β<sub>2</sub>+…λ<sub>s</sub>β<sub>s</sub>=0
B、有不全为0的数λ<sub>1</sub>,λ<sub>2</sub>,…,λ<sub>s</sub>使λ<sub>1</sub>(α<sub>1</sub>+β<sub>1</sub>)+λ<sub>2</sub>(α<sub>2</sub>+β<sub>2</sub>)+…+λ<sub>s</sub>(α<sub>s</sub>+β<sub>s</sub>)=0
C、有不全为0的数λ<sub>1</sub>,λ<sub>2</sub>,…,λ<sub>s</sub>使λ<sub>1</sub>(α<sub>1</sub>-β<sub>1</sub>)+λ<sub>2</sub>(α<sub>2</sub>-β<sub>2</sub>)+…+λ<sub>s</sub>(α<sub>s</sub>-β<sub>s</sub>)=0
D、有不全为0的数λ<sub>1</sub>,λ<sub>2</sub>,…,λ<sub>s</sub>和不全为0的数μ<sub>1</sub>,μ<sub>2</sub>,…,μ<sub>s</sub>使λ<sub>1</sub>α<sub>1</sub>+λ<sub>2</sub>α<sub>2</sub>+…+λ<sub>s</sub>α<sub>s</sub>=0和μ<sub>1</sub>β<sub>1</sub>+μ<sub>2</sub>β<sub>2</sub>+…+μ<sub>s</sub>β<sub>s</sub>=0