Assume we have 1000 data points x1,x2,···,x1000∈r50. we know that thesingular values of the data matrix are given asσ1= 10,σ2= 9,σ3= 8,···,σ10= 1,σ11=0,···. we would like to find a low dimensional representation of the data points in a waythat at least 50% of the energy of the data is kept. what is the minimum value of the dimension that we can use for the low-dimensional representation of the data

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step-by-step explanation:

idk

step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)