Q2] a) Write each (PRODUCT) of the following as a single matrix: 1 -1 [1 -1 0 2 [2 iii. -2 -1 -2 5 1 i. 1 1 -2| -1 -1 3 0 -1 2 1 -1-1 -2 52 -2 -1 1 1 -2 4 1 ii. [3 - 2 21 2 iv. -1 -1 3 -2 -2 -2 4 || 1 -1

Q: 2) Perform the following operations on matrices. 9-5 4 (a) 7 3-6 1-5 4 4 3 8 7 -2 -1 9 62 (b)

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Q: Express as a single matrix.

A: The matrix we have is  2014-2302-3451

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: a) Find the matrix of the quadratic form. Assume x is in R3 5x3-x3 +7x3-5x1x2 -3x1x3

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Q: . Find the rank of the matrix : 3 2 11 3 4 3 -1 2 2 Find rank of matrix

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Q: I. Multiply Matrices A and B then validate if the product matrix is matrix C -20 0 4 a.) -7 -3 -2 -1…

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Q: С. [ E国 -18 3 7 12 13 -2 3 9 11 5 3 4 8 -3 -15 7 8 4 8 -6 2 -8 6 -2 19 -8 26 -18 16 -13 4 Matrix A…

A: A detailed solution is given in step 2.

Q: Q2] a) Write each (PRODUCT) of the following as a single matrix: i -17 2 -2 -1]-i -2 5] -2| -1 1 -1]…

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Q: Find a basis for the row space of

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Q: Matrix C represents the number of calories burned per hour of exercise riding a bicycle, running,…

A:

Q: Find the nullspace of the matrix

A: By definition , nullspace of a matrix A is the collection of all vectors x such that Ax=0 Given…

Q: Perform the given row operations: -6 -5 -4 - 6° 1) - 3 2 R2 + R1 7 - 4 4 7 -7 -6 3 5R3 → R3 -7] 2) 6…

A: To perform the given row operations.

Q: Find the matrix of the quadratic form 2x12 + 3x22 – x32 – 4x1x2 - 2 x1X3 + 6 x2x3 2 2 -1 2 -2 1 (a)…

A: We have to find Matrix of the given Quadratic form.

Q: 5 0 0 0 A = 1 4 -3 -1 -2 0 -3

A: A IS DIAGONALIZABLE.

Q: Let. A=[3,2,1;4,2,3;-2,1,-3] Convert the matrix unit using elementary operations

A:

Q: Perform the given row operations: 3 7 -8 -87 3-2 -7 R₁ R3 -7-8 5 1) 7

A: We have to perform the row operations as given instructions.

Q: Use the fact that matrices A and B are row-equivalent. 1 2 1 5 1 2 A = 3 1 7 2 2 -2 11 25 8 -1 8 1 0…

A:

Q: Compute the adjugate -10 6 4 adj -7 9 10 8 -1 7 = of the following matrix: 000 000 000

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Q: -3-9 9 adj -2 -7 1 1 -9 -10 1

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Q: Find the size of the matrix [3 2 −3 2 −5 −5]

A: Size of matrix is same as order of matrix

Q: 1 0 2 -2 3 1 3X +|2 1 3 -1 -2 0 4 -1 5 1 5 II

A: The given equation is,

Q: Write Matlab program to find the sum of every row in matrix A: [3 - 4 81 - 3 A = -2 5 6 8. 413

A: % creating the Matrix A A=[3 -4 8; 5 4 -3; -2 1 5; 6 3 -8] A =3 -4 8 5 4 -3 -2 1 5 6 3 -8…

Q: 2 B= [11] 3 -1 Write B and B-¹ as products of elementary matrices.

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Q: 11 4 -1 0 1 -1 2 4 5 6 3 4 0 -4 3 6 3 -7 5 1 -1 6 7 3 -3 -1 -5 2

A:

Q: Find the matrix product, if possible. 0 -2 32-2 -4 1 4 4 3 6 -9 7 -6 6 -6 0-6 -12 06-2 B) -4 3 11 A)…

A: Add the inner matrices first