1. Is the following set of vectors in R³ linearly dependent: {(1,0, 3), (2, 1, –2), (0, – 1, 8), (7,2, 3)}? Give the dimension of the subspace spanned by the vectors.

Q: Determine the number of non-negative integer solutions of

A:

Q: solve 6x-2.3x=-95.4

A: Consider the given equation.

Q: Solve ex3+5 =13

A: We have to given x3+5=13

Q: Solve

A: On solving

Q: –+l l5=405 %3D

A: We can solve the quinary number system problem as below.

Q: Solve tle eepuet ion 5+12-2x =+

A:

Q: Solve: 2 0 -1 0 2 -6 1 -2 -3 -2 0 1 -5

A:

Q: 3 + 4lnx =15

A: subtract both sides by 3

Q: 7- V8- x = V2x + 25

A:

Q: x^2=4x-9. Solution set is: { , }

A:

Q: Solve 3*+1=9*=27

A:

Q: Solve  7x - 5 = 8x + 9

A: The equation is given by 7x-5 = 8x+9 To evaluate: The value of x which satisfy the equation.

Q: find the remainder when the 2022-digit number all of whose digits are equal to 7 is divided by 8

A:

Q: Solve 6x - 5 66x

A: Given: 6x-566x