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Hello everyone.
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We have a question related to matrix in which we have to identify the row operation corresponding to a matrix e which is given as equals to this matrix with order 3 cross 3 and a matrix a of order 3 cross 5 shown on your screen.
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And we have to verify that the cruder ea results from applying the row operation to a.
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First of all, we will multiply a matrix e with a matrix a, right? then we will get ea is equal to 100 minus 410001.
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This is matrix e.
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Multiply by matrix a with elements 2 -1 -2 minus 1 -3 -0 -0 -1 -1 minus 1 -1 minus 4 -5 -3 minus 1.
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That will be equal to you can see that first matrix is a matrix with order 3 cross 3 and the second matrix is a matrix with order 3 cross 5 then the result of the multiplication of this matrix will be order of 3 cross 5 matrix right so the first element of the multiplication of this matrix will be 1 multiply by 2 will be 2 plus 0 multiply by 1 will be 0 plus 0 multiply by 2 will be 0 now in in the same way, the second element of the multiplication of this matrix will be 1 multiply by minus 1 plus 0 multiply by minus 1 will be 0 plus 0 multiplied by minus 3 will be 0 plus 0.
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On the same way, the next element will be 0 plus 0 plus 0.
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Next element will be minus 4 plus 0 plus 0 and the last element of the first row will be minus 4 plus 0 plus 0 on the same way the element of second row will be minus 4 multiply by 2 is minus 8 plus 1 multiply by 1 will be 1 plus 0 multiply by 2 will be 0 on the same way the second element of this row will be 4 minus 3 plus 0.
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Next element will be 0 minus 1 plus 0.
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Next element will be 16 plus 5 plus 0.
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And the last element of this row will be 16 plus 3 plus 0.
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On the same way, the element of third row will be 0 plus 0 plus 2.
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Next element will be 0 plus 0 plus 0 plus 0 plus 1 next 0 plus 0 plus 1 next 0 plus 0 plus 0 plus 3 and the last element of this matrix and this row will be 0 plus 0 minus 1.
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On solving this matrix, we will get a matrix with order 3 cross 5 with element 2 minus 1, 0, minus 4, minus 4.
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On the same way, the element of second row will be minus 7, 1, minus 1, 21 and 19...