Question: Please solve this 1 st year question as fast as possible (best in 1 hour), I will immediately give a helpful rating 2. Answer the

Please solve this 1^st year question as fast as possible (best in 1 hour), I will immediately give a helpful rating

2. Answer the following questions. Justify your answers. (a) {3 marks} Is the sum of two invertible matrices invertible? [3:11 0 0 D (b) {4 marks} Let A = 0 322 0 D be invertible. 0 0 {133 D 0 0 0 (144 i. What condition{s} must o11,o22{,o33,o44 satisfy? ii. Determine A'l. (c) {5 marks) The volume of a tetrahedron whose sides are the vectors ab, and c is given by the formula 1 . - b x . la ( an Determine the volume of the tetrahedron with vertices U , 2 , 4

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