Determine if the following set is a vector space with the indicated operations. the set. v of all 2 x 2 real matrices a with standard matrix addition in m22 but scalar multiplication defined by a * a : =aa", a er.

so the addition is not a problem here, i understand that you write a*A = a.A so is a scalar product. if your matrix is A1, A2, A3, A4, and you multiply this with an scalar a defined in the real set.

then a*A = a.A1, a.A2, a.A3, a.A4

so this multiplication still gives you a 2x2 matrix, that is in your space.

so the defined here is a Vector space, because the addition of two of his objects results in other object in the set.

And also has a scalar multiplication that if you feed it with an object on the set, it returns another object on the set.

answer: input the dimensions of the room to be painted. click the button to calculate the amount of paint and man-hours needed for this job.

interior paint coverage depends on the brand of paint used. the coverage amount is listed on the label of the paint can. use this to adjust the values in the paint coverage section below. paint usually is applied at 350 to 400 square feet per gallon (primer at 200 to 300 square feet per gallon).

step-by-step explanation: