Let A and B be 7 × 6 matrices. If dimN(A) = 4, what is the rank of A? rank(A) If rank (B) = 2, what is the nullity of B? nullity of R-

Q: Let A, B be  matrices of the same order. Then det(A+B)=det(A) + det(B).  True or false

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Q: -5 4] -5 2 1 ||

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Q: (-1 7 -5 7. Let A = -4 11 -6). Diagonalize A if possible or explain why the matrix A is not -4 8 -3.…

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Q: Find the trace of the matrix 3 A 2 -2 tr(A)

A: The given matrix is A=-332-2. Find the trace of the matrix A as follows.

Q: en the definition tr rices (no numbers). (d) = a + d show that tr(A B) = tr(BA) using gen

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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

Q: Find the inverse matrix where A = 1 -1 2 -3 -3 1 2 -3 -3

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Q: Write the 2X2 matrix associated to a reflection about the x axis.

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Q: Explain why det (BPB¯¹) = det(P) for any matrices P and B. Assume both sides of the equation are…

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Q: Hi I was looking for this to be expressed as a symmetric matrix

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Q: how to find the cofactor of a 4x3 matrix

A: Solution

Q: Find a 2 x 2 matrix such that -5 6 +988-0 1 -3 = [1 1

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Q: Give an example example of a 3x5 matrix in BREF where RX=0 has unique solution.

A: The aim is to find an example of  matrix in RREF where  has a unique solution.

Q: Let A and B be square matrices of order 2 such thatA=-7 and B=4.What is (ABY"| %3D %3D

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Q: Let A be a 4x4 matrix and det(A)=2. Find det(2A-)'

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Q: Define the properties of the inverse of a matrix?

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