1 What value of x satisfies the matrix equation -2

Q: 1 3 -4 2 0 0 0 0 0 0 0 0 -1 6. 1 -3 7 1 4 -3 0 0

A: Remark:  We know that the maximum number of linearly independent vectors in a matrix is equal to the…

Q: Find the 2, 3-cofactor of the matrix 1 2 0 0 2 1 -1 7 -3 0 0 0 7 1 0

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Q: 5. (a) Consider T = LA: R³ - where A is the matrix A = R¹, T(x) = Ax 1 0 0 0 1 0 000 000 (In the…

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Q: Perform elementary row operations to transform the matrix [2 3] 5 6 into the identity matrix.

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Q: Solve the dimensions of the matrix

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Q: Show that the matrix equation has no solution.

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Q: R={(2,1),(3,1),(3,2)} as a zero to one matrix

A: Given R = R=2,1,3,13,2  we have to write it as a zero-one matrix  A= 0001001103×3

Q: Define the term matrix equation.

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Q: Find a matrix A that has an LU factorization where L is 4 x 4 and U is 4 x 3. L = U = 9. " 9-

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Q: 9. A = -2 2

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Q: 1. Mike has 19 coins (nickels, dimes and quarters) in his sock drawer with a total value of $2.35.…

A: As we know that nickels( x ) = 5 cents Dimes( y ) = 10 cents  quarters( z ) = 25 cents there are 19…

Q: Write down the (1,2) minor of the matrix 1 -1 3 -1 1 01 45

A: Given A=1-11-101345

Q: (i) (3 3)-C ) - 6 3) y z 5

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Q: 3 4x 1. If, A = | 1 -5 3x , and det(A) = 150, find the value(s) of x. |2x -x 2

A: Please see the answer below

Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

Q: Given A = 1 0 0 -3 1 1 1 - 2 -1 " x = and b = 300 150 400

A: Given that the system Ax=bHere A=1-3101-201-1 , b=300150400

Q: 6. Let A be a 2x 2 matrix such that (a) The above equations can be written in the form A -1 0 -1 0 B…

A: The objective is to find the matrix B. heck whether the matrix B is diagonalizable or not and also…

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: can you put the answer in matrix form

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Q: [1 2) 13 · X = 2-

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Q: Find a non-zero 2 x 2 matrix such that -5-2 6 15 -[88]- =

A: We have to find a non zero matrix such that the given rfelation satisfies.

Q: 2c1 + 2c2 + 2c3 =0, 2c1              - 2c3 =2,c1 -   c2 +    c3 =  6 Write in the form AC = B with 3…

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

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Q: Find the transpose of the matrix.

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Q: 1 2 (24)-- = G ) (2A)-1 3 4

A: (2A)-1 = 1234taking inverse both side :((2A)-1)-1 = 1234-12A =  1234-1Let B = 12342A = B-1A = 12B-1…

Q: Determine the cofactor of -2 in the matrix 1 0 3 7 -1 0. - -2 6 5

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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: 2. Diagonalize the matrix: 1 0 -2 1 1 1 -1

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