Use R to help solve this problem

Context: VARIANCE (Questions 1-4) The generalized sample variance is |S] where S is the unbiased sample covariance matrix. The total sample variance is defined to be S11 + 822 + $33 + + Spp Question 1 VARIANCE Suppose that X (the data matrix) takes the following form: Calculate the generalized variance using R and submit its value to 4 decimal places below! Question 2 VARIANCE Suppose X is again given by: X = Calculate the total sample variance using R and submit its value to 4 decimal places below! Question 3 VARIANCE Use the formula X - 1x and R to create a matrix of deviation vectors D as below: > D [,1] [, 2] [,3] [1, ] - 2 1 -0.3333333 [2, ] 1 0. 6666667 [3, ] 1 -1 Find the numerical value of D[3,3] and submit it to 4 decimal places below!Question 4 VARIANCE Show that det(D) = O and then find vector a such that Da=0 when the third component of a is 3. Submit the first component of "a" as an integer