Injectivity and Surjectivity of the Adjoint of a Linear Map

In the following two propositions we will see the connection between a linear map $T$ being injective/surjective and the corresponding adjoint matrix $T^*$ being surjective/injective. Proposition 1: Let $V$ and $W$ be finite-dimensional nonzero inner product spaces and let $T in mathcal L (V, W)$. Then $T$ is injective if and only if $T^*$ is …

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Nine distinctions – and a 92% average

Top KwaZulu-Natal Midlands school Michaelhouse is celebrating the achievement of all its pupils passing their final exams, achieving a 99% university exemption pass. Qaqambile Mehlwana, who achieved nine distinctions and an aggregate of 92%, also placed in the top 1% in SA in three of his nine subjects, Michaelhouse’s academic head and deputy rector, Alan …

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LISTEN: Stellar IEB results for north Durban schools

Reddam House Umhlanga student, Yusuf Essop obtained an impressive 99 per cent for Mathematics. He was joined by Yizhuo Li (five distinctions) and Taylor Campbell (six distinctions). THE Independent Examinations Board (IEB) pass rate (98.92 per cent) has gone up from last year, said the board’s CEO Anne Oberholzer. A total of 11 514 full-time …

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74% Indian teachers bank on homework to assess students

BENGALURU: Despite several efforts by the government and schools to lessen the burden of homework, over 74.3% of Indian teachers still use “home assignments” as a top tool to assess students in every lesson, says the latest National Achievement Survey report for Classes 3, 5, and 8. Only 24.3% of teachers depend on project-based or …

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Putting Science and Mathematics development at the top – KuenselOnline

Science and Mathematics are our future. Their development will play a critical role in shaping our nation’s success. It is in this backdrop that the education ministry’s decision to establish a premier school for science, technology, engineering and mathematics (STEM) in the country is highly appreciated. Mathematics and Science were never very popular among Bhutanese students and …

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