Which of the following statements are always true? (i) If A and B are 353 x 353 matrices with det(A) = 7 and det(B) = 8, then det(A + B) = 15. (ii) If A and B are nx n matrices with det(AB) 29 then det(B¬lA) = (iii) If A and B are 19 × 19 matrices then det(A + 6B') = det(6B + A').

Q: If A and B are 3 x 3 matrices, det(A) = 3, det(B) = -6, then det(AB) = det(2A) = %3D det(A") =…

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Q: If A is 4x4 matrix with det(A)=10, find det (24-¹A), det (A²).

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A: Given statement: For any two 3×3 matrices A and B, we have

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A: Given that the system of linear equations is…

Q: If possible, compute the following. If an answer does not exist, enter DNE. (A+B) + C = + A+ (B+ C)…

A: We have to solve the addition form of Matrix.

Q: If A and B are 2 x 2 matrices, det(A) = -2, det (B) = 7, then det (AB) = det (2A) = det (AT B³) = ₁…

A: We use determinnant properties (i) det(AB)=(det(A))(det(B)(ii) det(KA)= , Here k is constant and n…

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Q: (1) Let A and B be two 2 × 2 matrices. Does det(A – B) = det(A) – det(B), explain your answer.

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Q: If A and B are 4 x 4 matrices, det(A) = 1, det(B) = 4, then det (AB) = det (-3A) = det (AT) = det…

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Q: If A is a 3 x3 matrix and det(A) =-3, what is det(4A)?

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Q: [2 2 Give two different matrices B so that in each case B 2 2

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Q: Can you please help with finding an inverse of an elementary matrices?

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Q: 4, 4, -7 -5 Compute 2(2A - 3B) if matrix A = and matrix B = %3D 3 - 4 2. 2(2A - 3B) = (Simplify your…

A: Multiply A by 2A=433-42A=2433-42A=866-8Multiply B by -3B=-7-52-4-3B=-3-7-52-4-3B=2115-612

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