A quadratic form Q in the components ,...,n of a vector = [,...,n] with symmetric coefficient...

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A quadratic form Q in the components ₁,...,n of a vector = [₁,...,n] with symmetric coefficient matrix A = (aij)<ijn is defined to be 72 72 Q(7) := F A# = ΣΣ...;. i=1 j=1 Use THREE methods to determine whether the following quadratic forms in three variables is positive or negative definite or semidefinite, or indefinite. Q() = 6x² +6x2 + 5x² - 4x1x2. A quadratic form Q in the components ₁,...,n of a vector = [₁,...,n] with symmetric coefficient matrix A = (aij)<ijn is defined to be 72 72 Q(7) := F A# = ΣΣ...;. i=1 j=1 Use THREE methods to determine whether the following quadratic forms in three variables is positive or negative definite or semidefinite, or indefinite. Q() = 6x² +6x2 + 5x² - 4x1x2.