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(b) Construct a 4*4 matrix whose determinant is easy to compute using elementary row operations but hard to evaluate using cofactor expansion

- Thread starter Swati
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- Thread starter
- #1

(b) Construct a 4*4 matrix whose determinant is easy to compute using elementary row operations but hard to evaluate using cofactor expansion

- Jan 26, 2012

- 890

Would a matrix with all elements zero except for those on the diagonal which are a random sample of size 4 from U(0,1) qualify?1(a) Construct a 4*4 matrix whose determinant is easy to compute using cofactor expansion but hard to evaluate using elementary row operations.

Would a matrix with two rows equal but with values samples from U(0,1), and all other values sampled independently from U(0,1) qualify?(b) Construct a 4*4 matrix whose determinant is easy to compute using elementary row operations but hard to evaluate using cofactor expansion

CB

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- Jan 26, 2012

- 890

U(0,1) - the uniform distribution on [0,1). The suggestion is to use a random matrix generated in the specified way. In one case it would be diagonal, so the co-factor method would give the determinant as the product of the diagonal elements, in the second case with two equal rows row operations would deduce it has zero determinant.what is U(0,1) ?

Please explain me, i couldn't understand.

CB