Mathematics · Linear Algebra
Let M = 6 2 -6 85 3 -9 83 1 -2 4. Consider the system S of linear equations given by: 6x1 + 2x2 - 6x3 + 8x4 = 85x1 + 3x2 - 9x3 + 8x4 = 163x1 + x2 - 2x3 + 4x4 = 32 where x1, x2, x3, x4 are unknowns. Which one of the following is TRUE?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1The rank of M is 2, and the system S does NOT have a solution
- 2The rank of M is 2, and the system S has a solution
- 3The rank of M is 3, and the system S does NOT have a solution
- 4The rank of M is 3, and the system S has a solution✓
Correct answer
The rank of M is 3, and the system S has a solution
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