Let Aequals[Bold v 1 Bold v 2 Bold v 3 Bold v 4]. Note that A is a ▼ 1 times 4 4 times 4 matrix and its columns span ▼ set of real numbers R Superscript 4 Baseline . set of real numbers R . Thus, by the ▼ definition of linear independence, Basis Theorem, Spanning Set Theorem, definition of a basis, Invertible Matrix Theorem, Rank Theorem, the columns ▼ are linearly dependent. are pivot columns. span set of real numbers R cubed . are linearly independent. Therefore, the columns of A are a basis for set of real numbers R Superscript 4 because of the

Koji is installing a rectangular window in an office building. the window is 823 feet wide and 534 feet high. the formula for the area of a rectangle is a=bh. what is the area of the window? enter your answer as a mixed number in simplest form in the box. $$ ft2

Circle a has a diameter of 7 inches, a circumference of 21.98 inches, and an area of 38.465 square inches. the diameter of circle b is 6 inches, the circumference is 18.84 inches, and the area is 28.26 square inches. part a: using the formula for circumference, solve for the value of pi for each circle. (4 points) part b: use the formula for area and solve for the value of pi for each circle. (4 points)

Use the spider tool located on page 1 of this activity to draw a 12-pointed star for the new logo. (hint: if the spider rotates 360 degrees -- or 720 degrees or 1080 degrees -- she will be facing in the same direction in which she started. when the spider is done drawing, you want her to be facing in the same direction in which she started. she'll be making 12 rotations, all the same size, so each rotation must be some multiple of 360/12 = 30 degrees.) urgently. been stuck on this problem for around 45 minutes now.! it should be easy if you're smart enough