Express the quadratic form as v Av, where A is a symmetric matrix. x² + 3y² + 5z² - 4xy+3yz + 10xz

Q: Let A be a 4×5 matrix with 4 pivots. Do the columns of A span R4? Do they span R5? Justify your…

A: As A is a 4 x 5 matrix with 4 pivots so, it has a pivot in its every row. So, yes the columns of A…

Q: solve by finding an inverse matrix 2x+y=6 x+2y+z=12 x-y-z=-5

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Q: Solve using a matrix x - y + 5z = 194x + z = 3x + 3y + z = -9

A: According to the given information it is required to solve the given equations using matrix method.

Q: Write the augmented matrix of the system 36x 2x 77x +6y +64y +33z -Z = || || || = 6 -5 = -1

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Q: 2X + 3Y – 2Z = 5 5Y + 3Z = -2 4X – 3Y + Z = 1

A: Matrix form is 2 3 -2 5 0 5 3 -2 4 -3 1 1

Q: Why did you write the number of columns of A as 3 when the matrix has only 2 columns

A: Let given matrix is Using RANK-NULLITY theorem, we haveRANK(A)+NULLITY (A)=number of columns in…

Q: = [2 1 3 -1 -1 -1 2

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Q: Find a non-zero 2 x 2 matrix such that -7 1 35 -5

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Q: Use the inverse of the coefficient matrix to solve the system of equations (3x₁4x2 = -22, (5x₁ + 3x₂…

A: Solution :

Q: Use Cramer's Rule to solve the 3 x 3 matrix A- 3B + 7Z = 13 A +B +Z =1 A- 2B + 3Z = 4

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

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