Question 1159588
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<pre>

It assumes that you know properties of determinant and can play and understand their music easily.


<U>Step 1</U>


    Adding  3v3  to the first row DOES NOT change the determinant.

    So, you can omit this addend from the first row.



<U>Step 2</U>


    Adding 3v1 to the third row  DOES NOT change the determinant.

    So, you can omit this addend from the third row.



<U>Step 3</U>


    So, you are left with THIS determinant

        [ 4v1 ]

        [ v2 ]

        [ 8v3 ]

        [ v4 ]


<U>Step 4</U>


    So, the value of the new determinant is  4*8 = 32 times the value of the original determinant.


<U>ANSWER</U>.  The value of the new determinant is  32*(-8) = - 256.
</pre>

Solved.