(Use R) Suppose x and y are two vectors of names of same length which are separated with a space. Write a code that finds the name(s) that are common to both vectors. For example, if x and y are the following vectors, X y dog cat rat bat cat dad dog monster it should return "dog" and "cat."

Please fast

Please give both ans.

Express EC by combinations of the vectors a, b and 7.

Are the vectors -6 -9x+9x², 3x - 12 + 6x² and 10+ x - 7² linearly independent? choose If the vectors are independent, enter zero in every answer blank since zeros are only the values that make the equation below true. If they are dependent, find numbers, not all zero, that make the equation below true. You should be able to explain and justify your answer. 0= (-6-9x + 9x²)+| (3x - 12+ 6x²)+ (10 + x - 7x²).

Define zero vector.

Find the solution space and write it as a linear combination of vectors.

Find a general set of solution vectors x₂ = - 5x2 X₂ = x₁ + 3x₂

please nswer the question using math and using vectors in the explanation

Suppose that A= 2 6 2 [-1 1 1] Describe the solution space to the equation Ax = 0. Describe the solution space to the equation Ax = b where b : Are there any vectors b for which the equation Ax = b is inconsistent? Explain your answer. Do the columns of A span R? Explain your answer.