Determine which of the following are true and which are false

There exists a 3 x 3 matrix whose range is the same as its null space. The rank of a matrix is the number of non-zero rows that it has. For all square matrices A, it's true that det(-A) =... more

Compute the rank and nullity of each matrix

1. [ -2 4 ] [ 1 5 ] 2. [ 1 2 -1 ] [ -2 -4 2 ]

Calculus Question

Find the value of this expression: sin 45° sin 15°. The second step =a. 1/2 [ sin 60° - sin 30°]b. 1/2 [ cos 60° + cos 30°]c. 1/2 [ sin 60° + sin 30°]d. 1/2 [ -cos 60° + cos 30°]

Calculus Question

Simplify: sin 4x cos 3x + cos 4x sin 3xa. cos x b. cos 7x c. sin 7x d. sin x

If A+B matrix and A and B are invertible then prove :

(A-1 + B-1 )-1 = A(A+B)-1 B =B(A+B)-1 A

03/11/20

Calculus with derivative word problems

A light shines toward the ground from the top of a building wall that is 40 ft high. A kid in a tree house that is 25ft to the right of the building drops an apple from the same height (40 ft). How... more

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