For each of the following, give an example of a non-zero 4 x 4 matrix A (i.e. non-zero matrix means not all entries are zero) which satisfies the following conditions. I the matrix does not exist, state so and explain why. (a) A is upper triangular as well as lower triangular. (b) A is in row echelon form (REF) but not in reduced row echelon form (RREF). (c) A is symmetric as well as skew-symmetric. (d) A is a scalar matrix and also the identity.

Q: (iii) 12 2 3 1 2 3 6:9-69-GD-6) 3 3 3 11 1 1 0 00 1 2 3 4 5 7 8 1 2 3 0 -1 -2 0 0 0 The rank is 2.

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Q: e. Determine whether the rows of A are linearly independent. f. Let the columns of A be denoted by…

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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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A: Given: 2×3 matrices A1 and A2 with row echelon form R1 and R2.We need to show that R1+R2 is the row…

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

A: Given A=1-11-101345

Q: Here A represents a 2 x 2 matrix

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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: +2 17 8 -4.5]

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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: Give an example of a 3 × 3 matrix with real inputs that is not similar to a matrix diagonal

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

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Q: 1 -2 3 -2 1 2 -4 -2 4. 4,

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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: (a) R₂ (b) R3 = 4r₁ + r3 (c) R3 = : -4r₁ + r₂ = = 1r₂ +r3 A = 1 4 -4 3 5 6 13 -5 -1 1 -13 1

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

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Q: Find a non-zero 2 x 2 matrix such that -7 1 35 -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: Write an augmented matrix for the follo 6x - 5y +z = -9 8x - 7y +z = 7 9y-2z = - 2 %3D %3D

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

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Q: Find a non-zero 2 x 2 matrix such that -6 -8 30 40

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.