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...Algebra i unit matrices ii structure introduction objectives elementary row operations rank of a matrix inverse using answers to check your progress summary in we have introduced this shall study operation on there are basically three scaling interchange and replacement these called or column according as they performed rows columns the respectively play important role reducing simpler forms namely triangular form normal very helpful finding solution system linear equations is concept will be see that remains unaltered under provides us with useful tool for determining givne already defined square discussed method adjoint discuss only after studying you should able define reduce find usng consider b c d related follows can obtained from by multiplying first interchanging second adding twice such definitions an any one following types multiplication non zero constant two multiple another denote r kr j ri krj thus applying definiton said equivalent denoted if other finite sequence clearl...