BiLinear bed leveling
Photo Credit: Courtesy of 3DStockPhoto ( image)

Proper leveling using plain "A4" or "Letter" paper is recommended. Level the bed by first homing all axes, then level each corner and at mid-span. In between leveling (by dragging the nozzle head from one to another position, beware of the hot nozzle!) redirect the nozzle to "Z=0" or home Z and instruct the printer to go to "Z=0".

Note that capacitive probe sensors are inaccurate, they tend to be influenced by the humidity of air.

Running Marlin Firmware and instructing a G29 trough a terminal gives me something in the region of the unity matrix:

Recv: Bed Level Correction Matrix:
Recv: +0.999994 +0.000000 -0.003585
Recv: +0.000003 +1.000000 +0.000823
Recv: +0.003585 -0.000823 +0.999993

Running the command G29 P3 V4 gives:

NOTE:

  • P Set the size of the grid that will be probed (P x P points)
  • V Set the verbose level (0-4)
Recv: G29 Auto Bed Leveling
Recv: Bed X: 25.000 Y: 22.000 Z: 0.138
Recv: Bed X: 109.000 Y: 22.000 Z: 0.071
Recv: Bed X: 193.000 Y: 22.000 Z: -0.842
Recv: Bed X: 193.000 Y: 97.000 Z: -0.427
Recv: Bed X: 109.000 Y: 97.000 Z: 0.083
Recv: Bed X: 25.000 Y: 97.000 Z: 0.086
Recv: Bed X: 25.000 Y: 172.000 Z: 0.004
Recv: Bed X: 109.000 Y: 172.000 Z: 0.019
Recv: Bed X: 193.000 Y: 172.000 Z: -0.297
Recv: Eqn coefficients: a: -0.00356075 b: 0.00080090 d: 2.38097906
Recv: Mean of sampled points: 2.07054519
Recv: 
Recv: Bed Height Topography:
Recv:    +--- BACK --+
Recv:    |           |
Recv:  L |    (+)    | R
Recv:  E |           | I
Recv:  F | (-) N (+) | G
Recv:  T |           | H
Recv:    |    (-)    | T
Recv:    |           |
Recv:    O-- FRONT --+
Recv:  (0,0)
Recv:   0.13385  0.14866 -0.16731
Recv:   0.21531  0.21284 -0.29814
Recv:   0.26715  0.20050 -0.71286
Recv: 
Recv: Corrected Bed Height vs. Bed Topology:
Recv:   0.12837  0.44228  0.42541
Recv:   0.26990  0.56653  0.35465
Recv:   0.38180  0.61425  0.00000
Recv: 
Recv: Bed Level Correction Matrix:
Recv: +0.999994 +0.000000 -0.003561
Recv: +0.000003 +1.000000 +0.000801
Recv: +0.003561 -0.000801 +0.999993

Running the command G29 P3 V4 again, but now with my vernier on the bed (opposite to the side of the origin, on the right side of the bed; vernier under probing points 3 and 4), gives:

Recv: G29 Auto Bed Leveling
Recv: Bed X: 25.000 Y: 22.000 Z: -0.003
Recv: Bed X: 109.000 Y: 22.000 Z: -0.050
Recv: Bed X: 193.000 Y: 22.000 Z: **5.709**
Recv: Bed X: 193.000 Y: 97.000 Z: **5.892**
Recv: Bed X: 109.000 Y: 97.000 Z: 0.007
Recv: Bed X: 25.000 Y: 97.000 Z: 0.039
Recv: Bed X: 25.000 Y: 172.000 Z: -0.023
Recv: Bed X: 109.000 Y: 172.000 Z: 0.017
Recv: Bed X: 193.000 Y: 172.000 Z: -0.329
Recv: Eqn coefficients: a: 0.02233918 b: -0.01331358 d: 2.30744504
Recv: Mean of sampled points: 3.45099973
Recv: 
Recv: Bed Height Topography:
Recv:    +--- BACK --+
Recv:    |           |
Recv:  L |    (+)    | R
Recv:  E |           | I
Recv:  F | (-) N (+) | G
Recv:  T |           | H
Recv:    |    (-)    | T
Recv:    |           |
Recv:    O-- FRONT --+
Recv:  (0,0)
Recv:  -1.27376 -1.23426 -1.57986
Recv:  -1.21205 -1.24414  4.64083
Recv:  -1.25401 -1.30091  4.45816
Recv: 
Recv: Corrected Bed Height vs. Bed Topology:
Recv:   4.05814  2.22162  0.00000
Recv:   3.12192  1.21381  5.22275
Recv:   2.08203  0.15910  4.04215
Recv: 
Recv: Bed Level Correction Matrix:
Recv: +0.999750 +0.000000 +0.022334
Recv: +0.000297 +0.999911 -0.013306
Recv: -0.022332 +0.013309 +0.999662

From the snippets you can see that the topology is printed in the output. You also see the vernier of about 4.5 mm comming back in the matrices. But the 4.5 mm thickness of the vernier is not easily found in the correction matrix!

The answer to your question is that the origin is in the lower left of the matrix, so you need to loosen the origin screw in the first example (this matrix shows you that the bed is highest at the right-back and lowest at the origin at the left-front). Your second example shows that the whole bed is tilted downwards to the front.