For the matrix A = -3 0 5 O 9 2. -6 0 what is the value of |A|?

Q: 3: For the matrices, A = [1 and B = 01 -31 (a). Show that, (A+ B)" AT +B". (b), Show that, (AB)-1 =…

A: Show that  a) (A+B)T= AT +BT  b) (AB)-1= B-1A-1  For the matrix A and B .

Q: [-3 -2 Let A= 0 -6 and b = 14 3 2 6 Determine whether b is in the column space of A.

A: If b is in column space of A then Rank (A:b)=Rank(A).

Q: 6. What 3 x 3 matrix exchanges rows 1 and 2, but leaves row three alone?

A:

Q: 3 -3

A: An important fact about elementary matrices is that if a matrix A is invertible, then it can be…

Q: 5. Find the change of coordinates necessary to express the quadratic form with a matrix A = [₁3] as…

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Q: Rewrite the simultaneous linear equations above b. Hence, calculate the inverse of the above matrix.…

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Q: ? 3x1 – 2x3 4x1 х — Xә + хз X1 ? ? ? X2 ? ? ? X3 ||

A: We have to fill the missing entries of the matrix, assuming that the equation holds for all values…

Q: Determine whether b is in the column space of A. A = 1. -102 5 8-10, b = -3-3 6 3

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Q: x-7 y = 4 3. X-9y-4

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Q: 2. Perform the row operation on the matrix. Multiply R, by -7. 0-1 4 -10 -7 3 9. -6 0 -1 42 -0 7. 7…

A: See the solution below.

Q: -1 – 7 -3 (a) Let A = 15 6 Find the second column of A-1 without com- 1 3 puting the other columns.

A: Given,A=-1-7-32156132

Q: Fill in the missing entries by performing the indicated row operations to obtain the row-reduced…

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Q: 7. Let T1, T2, T3 represent the following row operations: T₁: Interchange rows 1 and 3. T2: Multiply…

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Q: Diagonalize the following matrix, if possible. 2 4 3 A = -4 -6 -3 3 3 1

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Q: Write down the quadratic form that corresponds to the following 4 -1 -3 -3 1 324

A: The given matrix is, A=3242-1-34-31. The quadratic form of the matrix A is Q(x)=xTAx, where…

Q: Fill in the missing entries of the matrix, assuming that the equation holds for all values of the…

A: Let the matrix be abcdefghi Therefore abcdefghix1x2x3 =…

Q: Find the relation determined by the diagraph and give its matrix

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Q: An example of the procedure of the exponential of a matrix of 2x2 and 3x3

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Q: II. Find the inverse of each matrix. -9 6 2. 4 -8

A: Let    A=-964-8 We have to find its inverse. We have several method now we use elementary row…