-3 #3. Let A = [ 2 3³ ], B = [§ 3 ], and C = [$ 7² ] 6 3 (a) Calculate AB. (b) Calculate AC. (c) Suppose D, E, and F are three matrices such that DE = DF. Is it always true that E = F?

Q: [11-12 4 2. Let A 14 6 [12 107 10 12 B= -5 12 be two matrices. Find AB. -2 9 15 16 2.

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Q: 4x-y<-1

A: Given  4x-y&lt;1 Can be rewritten as y&gt;4x-1 So we take the area above the line y = 4x -1 And all…

Q: 4. 1 -₁ 3 Let B= a. 2 -1 Find B¹ using the formula for the inverse of a 2x2 matrix. b. Find the…

A: Inverse of a

Q: Find the inverses of the matrices or show that they do not exist. -5 -3 1 -2 A B= = 1 6 = 2 -3

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A: Given, Sara draws the 4 of hearts from a standard deck of 52 cards without replacing. a) we know…

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A: Given, the population of a certain county was 100,000 in 1998 and 110,517 in 2008             and…

Q: Given the following matrices, please solve the questions beiow: A= : 1 51 36 1. [(D-E)(F) + A][B] 2.…

A: We solve the 1st and 2nd both part.

Q: A, B, C are 3 x 3 matrices with det(A) = -3, det(B) = -2, det(C) = 6. What is det(A² BC-1)?

A: Given A, B and C are 3×3 matrices. and A=-3,B=-2,C=6 Find the determinant of A2BC-1.

Q: 3. Given the matrices: (a) Find A-1 (b) Find B-1 (c) Find (AT)-1 A B = 11 1 3 -2 2 -3 2 2 7 9 -4 -7

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Q: compute the indicated matrices DA - AD

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Q: a. L 0 -3 -2 1 -4 -2 1 -3 4 b. 1 0 -1 -3 2 1 2

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Q: -4)· (- 1 2 -4 1 -3 2 1 17 -31 (d) -2 -4 16 16 9 10 -8 e? This set is

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Q: 1 (4) s What can be said about the 2 matrices based on your result (d)? -0.5 -1.5

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Q: Q3A. Compute b11 for the inverse matrix B-¹. B O - 2 -5 2 -6 -3 12/07 -1 1 3 12/07

A: B-1 can be calculated by calculating determinant of a matrix and then dividing adjoint of the matrix…

Q: Let B and F be the following matrices. 7 -10 -3 6 -5 4 B= - 10 8 4 -1 -1 6 7 -3 F = -2 -10 -9 6 7 10…

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Q: Compute AB, det(A), det(B), det(AB), and det(A + B) for the following matrices. A = AB = det(A) det…

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Q: Let A and B be 2 × 2 matrices. The equation (A – B)(A+B) = A² – B² is correct. ... True False

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Q: Write a function for the blue graph of a quadratic function in a form: f(x) = a ( b (x + c))² + d…

A: The given parent graph is shown by red and transformed graph shown by blue in the question.

Q: 5. Choose which of the following are the values of x, y, and z. x + 2y +3z = -5 3x + y - 3z = 4 -3x…

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Q: Consider the two matrices: Compute A + 3B. The result is equal to: Select one: O a. O b. O c. 4 -12…

A: (.)  Given matrices are , A=   2  4-6  0   ,    B =    1 -5-3     2 now we find  12A+3B .