Find the rank of thefollowing matrices. 1 2 0 1 1 2 4 1 3 0 A= (3 6 2 5 1) -4 -8

Question

Find the rank of thefollowing matrices.       1         2         0            1              1       2         4         1            3               0 A= (3         6         2            5              1)       -4         -8        1            -3               1 Thank you Find the rank of thefollowing matrices.       1         2         0            1              1       2         4         1            3               0 A= (3         6         2            5              1)       -4         -8        1            -3               1 Thank you

Explanation / Answer

A= 1 2 0 1 1 2 4 1 3 0 3 6 2 5 1 -4 -8 1 -3 1 EXCHANGE CO.5 AND COL.1 1 2 0 1 1 0 4 1 3 2 1 6 2 5 3 1 -8 1 -3 -4 NR3=R3-R1…NR4=R4-R1 1 2 0 1 1 0 4 1 3 2 0 4 2 4 2 0 -10 1 -4 -5 NR1=R1-R2/2…NR2=R2/4….NR3=R3-R2….NR4=R4+5R2/2 1 0 -0.5 -0.5 0 0 1 0.25 0.75 0.5 0 0 1 1 0 0 0 3.5 3.5 0 NR4=R4-3.5R3 1 0 -0.5 -0.5 0 0 1 0.25 0.75 0.5 0 0 1 1 0 0 0 0 0 0 LAST ROW IS ALL ZEROS SO MAXIMUM POSSIBLE ORDER OF A NON ZERO DETERMINANT IS 3 WE HAVE A NON ZERO DETERMINANT OFORDER 3 FROM CLNS.1,2,3 SO RANK OF MATRIX = 3

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