1. True or False? Give a reason to justify your answer. a) Given a vector Y...

  

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1. True or False? Give a reason to justify your answer. a) Given a vector Y of 1000 data measurements, you try to fit it to a constitutive law that says Y = a + bX + cX?. To solve for parameters a, b, c, this gives you the linear system X1 X2 Ý = A X1000 Xio0. with matrix A of size 1000 x 3. Best case scenario is that if Y e R(A), you can have a unique solution for the coefficients a, b, c. b) You balance a set of equations for a mechanics problem, and find that it simplifies to a m of 594 linear equations for 600 variables, which you write as Ax = b with A of size s0 et Best case scenario is that if b€ R(A), you can have a unique solution. 1. True or False? Give a reason to justify your answer. a) Given a vector Y of 1000 data measurements, you try to fit it to a constitutive law that says Y = a + bX + cX?. To solve for parameters a, b, c, this gives you the linear system X1 X2 Ý = A X1000 Xio0. with matrix A of size 1000 x 3. Best case scenario is that if Y e R(A), you can have a unique solution for the coefficients a, b, c. b) You balance a set of equations for a mechanics problem, and find that it simplifies to a m of 594 linear equations for 600 variables, which you write as Ax = b with A of size s0 et Best case scenario is that if b€ R(A), you can have a unique solution.