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- Find a basis for the vector space of all 33 diagonal matrices. What is the dimension of this vector space?Consider a basis for a space given by vectors Note that you can type in square roots as "a^0.5".. -10 -10 -10 -2 6 . Answer the following questions below:Find a basis for R^4 that includes these two vectors.
- tion 4 of 12 > Calculate the cross product. (9j - 5k) x (2j+ k) (Give your answer using standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) ai + bj + ck = lu Transcendentals PubDetermine the following three vectors {<2,1,0>, <4,2,2>, <-2,-1,3>} forms a basis for R^3. Expalain your answer.Does the ordered set v, v, va form a basis for R^3? If not, which vectors would you subtract from the set and which standard basis vector can you add to the set to make it a basis for R^3? vi = (1,–1, –2) = (5, –4, –7) v = (-3, 1,0) Select all answers that are correct. O subtract vector v 1 from the set O no it does not form a basis for R^3 O subtract vector v_3 from the set O yes it forms a basis for R^3 O add vector e_1 O add vector e 2 subtract vector v_2 from the set O add vector e_3
- List five vectors in Span/v,, v2}. Do not make a sketch. -6 V1 1 V2 %3D - 5 List five vectors in Span{v1, V2} (Use the matrix template in the math palette. Use a comma to separate vectDetermine whether vectors (-1,0,1,2),(1,0,-3,0),(1,0,0,0),(1,5,-1,-2) from the basis for R^4 Please show all the stepsHow is the basis {lk} picked?
- Find a basis for the row space of A = -3 4 1 2 Basis for row(A) = {| 9 -6 15 -12 6 -14 -26 16 -6 -14 -11 14 -1 5 33 -16 Enter your answer as a list of vectors separated by commas, and use angle brackets to type each vector, such as ''. }.Do the vectors v1 = (-3, 7) and v2 = (5, 5) form a basis for R²?show that {x-2x^2,3x+1,-1} is a basis for P3}