[1 1 1] Suppose we have a matrix A= |1 0 1 2 1 2 What is rank of A?

Q: Let A = - 2     1    0                 1     0    1                2    -3    1        A is a…

A: trace is the sum of all diagonal elements of the matrix.

Q: t matrix B= 5-21 4-2 what is The 2. 3. 1-12 -12 reduced Yow echelon form of 6 B.

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Q: 5 -3 Find the matrix A if (I+ 2AT) ¯ = | 1: -2

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Q: EXER 3.1 Find a symmetric matrix E (E = ET) and a skew-symmetric Justify all parts of the solution.…

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Q: Let A = [ 9-8 4-3 Find an invertible matrix X such that X-¹AX is diagonal.

A: Introduction: A matrix A of dimension n x n is called invertible if and only if there exists…

Q: 4. Find the symmetric matrix, diagonal form of the quadratic form Q = 2x? + 2y2 + 2z2 – 2xy – 2xz –…

A: Step:-1 Given quadratic form is  Q=2x2 +2y2 +2z2 -2xy -2xz -2yz Q=xyz 2-1-1-12-1-1-12 xyzQ=XTAXHere,…

Q: 9. Do the columns of the matrix A = 7. span R

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Q: 2 1 -1 3 1 9. Calculate the rank of the matrix P = | 2 1 2 0 3 1 1 1 |-1 -5 -3 -7 3|

A: P=210-131212003111-1-5-3-73

Q: Express the matrix A = as the product of elementary matrices. 1 2 2 10 2 31

A: Elementary square matrix :- A square matrix of order n is said to be an elementary square matrix if…

Q: 6. Find the distance between the matrices A and B, p(A, B), using the ||- ||2 for the matrix -[:] -1…

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Q: Use elementary row operations to determine A-1 (you should be able to do (a) elementary row…

A: 1.a A=123-111201A=11-0-2-1-2+30-2     =1+6-6     =1determinant of A is not zero, therefore inverse…

Q: [1 0 2] 1 2 is diagonalizable. Justify your answer. 0 0 0 9. Determine if the matrix A = 1

A: If minimal polynomial having a repeated roots then that matrix is not diagonalzible.

Q: a- B-2 3] and Given matrices Find CAB 3

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Q: Find a non-zero 2 x 2 matrix such that Note: 4890 -7 -67 28 24 =

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Q: How would I write the following 2 functions in matrix notation? Q(h) = (h, 2h, 3h) F(x, y, z) =…

A: We have to write the function as matrix notation. The given function is Q(h) = (h, 2h, 3h) Clearly,…

Q: (1 2 3 2 (b) Find the rank of the matrix A = 2 3 5 1 1 3 4 5

A: The given matrix,A=123223511345

Q: 31 = 32 = Y3 = 3x2 + 23 Write the matrix A such that y = Ax 1 + 3x2 55 1 + 2x3 + 324

A: Given ,  System of equations are  y1 = x1 + 3x2 y2 = -x1 + 2x3 + 3x4 y3 = 3x2 + x3

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: Solve the following equation involving a determinant. If y multiple answers, enter them as a list,…

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Q: 1 -1 on 1 of the product matri חר

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Q: Find the value of x if the matnx 1 5] 4 is Singular 2. A = -3 6. 2

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