In the following several gradients and Hessian matrices are given. Classify them based on the extremal lines they identify. Here are the classification rules as a reminderRidge linesValley linesgrad f(x,y) | €221<0grad f(x, y)||c0<12-2y2-10H=0Valley Line;gradf130H =0-5y42 gradf=3Valley Line-2y210H =;gradf=0Not an Extremal Line[8]-2y2-1 0H =;gradf=0[A]Ridge Line0H==;gradf=0 -5y2-6,Not an Extremal Line30H=;gradf=0 5y2+4]Not an Extremal Line[]

1. H=[2y2−10041]gradf=[340]Classification: Valley LineReasoning:The gradient is not zero,…

Answered: In the following several gradients and…

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