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The vale f ‘a’ for which the matrix becomes a singular matrix

i feel for any value f ‘a’ the determinant would be zero however the answer mentioned is a=3.

can someone please help me with this.

ago in Mathematical Logic by (20 points) | 9 views
I think you're right. If you observe the first and second columns only:

$2R_2 - R_3 = R_1$

If you apply this transformation for the 3rd column as well:

$2(2a) - 3a = a$ which is always true. What explanation have they given for $a = 3$ ? Is it part of an augmented matrix or something ?

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