Question

drevation of bmatrices formula​

Answer 1

Step-by-step explanation:

To form the matrix of partial derivatives, we think of f(x) as column matrix, where each component is a scalar-valued function. The matrix of partial derivatives of each component fi(x) would be a 1×n row matrix, as above. ... We get that the full m×n matrix of partial derivatives at x=a is Df(a)=[∂f1∂x1(a)∂f1∂x2(a)…

Answer 2

Answer:

If M is your matrix, then it represents a linear f:Rn→Rn, thus when you do M(T) by row times column multiplication you obtain a vectorial expression for your f(T). Thus ∂M∂T is just the derivative of the vector MT, which you do component-wise.

Step-by-step explanation:

A determinant is just a special number that is used to describe matrices and finding solutions to systems of linear equations. The formula for calculating a determinant differs according to the size of the matrix. For example, a 2×2 matrix, the formula is ad-bc.