Mathematics, 10.07.2019 04:40 Enyo07
Amatrix is skew symmetric of a^t = -a. prove that if b is a square matrix that 1/2(b - b^t) is skew symmetric and 1/2(b + b^t) is symmetric. find the inverse of a = [1 2 0 2 1 0 0 0 3] if it exists. a) give a 2 times 2 example that proves that the sum of two invertible matrices need not be invertible. b) give a 2 times 2 example that proves that the sum of two singular matrices need not be singular. let a be an invertible matrix. prove that if ab is defined then rank ab = rank b and if ba is defined that rank ba = rank b.
Answers: 2
Mathematics, 21.06.2019 22:10, ansonferns983
Given: ae ≅ ce ; de ≅ be prove: abcd is a parallelogram. we have that ab || dc. by a similar argument used to prove that △aeb ≅ △ced, we can show that △ ≅ △ceb by. so, ∠cad ≅ ∠ by cpctc. therefore, ad || bc by the converse of the theorem. since both pair of opposite sides are parallel, quadrilateral abcd is a parallelogram.
Answers: 1
Amatrix is skew symmetric of a^t = -a. prove that if b is a square matrix that 1/2(b - b^t) is skew...
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