MATH1002 Lecture 7: Matrix algebra, inverse of a matrix
24 Jul 2018
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7. 1 properties of matrix scalar these are the as properties. Vectors same of d since vectors are a. Case of matrices ( matrices with either one row or column ) . of the same size matrices matrices of be e r . linear combination. 4 cz cr independent as defined above the only solution to. + ckak = o a- zero matrix is. Must be same as 9) ftp. 8]= f;34 , zfe s=f3. + ba +132 by right distributivity by distributivity left. 7. 3 properties of the transpose undo g- t r factors. Aji for all i ,j eg let a=[a, } ] + [ i: =[4, b) In of a matrix nxn matrix an inverse nxnmatrix. A exists is invertible eg prove that if a=[2,53] then. Not invertible as with any other matrix the is product. Always of the the zero matrix zero matrix eg prove b=[2 24 ] is suppose b has an not invertible inverse.
